This letter introduces the novel concept of Painlevé solitons—waves arising from the interaction between Painlevé waves and solitons in integrable systems.Painlevé solitons can also be viewed as solito...This letter introduces the novel concept of Painlevé solitons—waves arising from the interaction between Painlevé waves and solitons in integrable systems.Painlevé solitons can also be viewed as solitons propagating against a Painlevé wave background,in analogy to the established notion of elliptic solitons,which refers to solitons on an elliptic wave background.By employing a novel symmetry decomposition method aided by nonlocal residual symmetries,we explicitly construct (extended) Painlevé Ⅱ solitons for the Korteweg-de Vries equation and (extended) Painlevé Ⅳ solitons for the Boussinesq equation.展开更多
We investigate the alpha helical protein structure characterized by fourth-order interspine coupling,focusing on a three-coupled fourth-order nonlinear Schr??dinger system.We introduce a generalized Darboux transforma...We investigate the alpha helical protein structure characterized by fourth-order interspine coupling,focusing on a three-coupled fourth-order nonlinear Schr??dinger system.We introduce a generalized Darboux transformation,departing from the classical Darboux transformation.Based on this,we construct the two-and three-degenerate soliton solutions and four-degenerate asymptotic soliton solutions.Based on the asymptotic analysis,we find that the amplitudes of interacting solitons are retained upon the interactions.Elastic interactions between two degenerate solitons exhibiting four curve-type asymptotic solitons are depicted.When the lattice parameterβchanges,the velocities of the two degenerate solitons also change.Elastic interaction among three degenerate solitons comprising four curve-type asymptotic solitons and two line-type solitons is presented.Interaction among one soliton and two degenerate solitons with different velocities is shown.Elastic interaction among four degenerate solitons comprising eight curve-type asymptotic solitons is also presented.Interaction among two two-degenerate solitons with two spectral parameters is shown.The relative distance between two asymptotic solitons exhibits logarithmic growth with|t|,where t represents the retarded time.Acceleration of soliton separation decays exponentially with relative distance,and eventually approaches zero.Phase shifts depend on t.展开更多
In this article, we study the steady, shrinking, and expanding Kahler-Ricci solitons with vanishing Bochner-Weyl tensor and prove that, under this condition, the Ricci solitons must have constant holomorphic sectional...In this article, we study the steady, shrinking, and expanding Kahler-Ricci solitons with vanishing Bochner-Weyl tensor and prove that, under this condition, the Ricci solitons must have constant holomorphic sectional curvature.展开更多
In this paper, we explicitly construct some rotationally symmetric gradient pseudo- Kahler-Ricci solitons which depend on some parameters, on some line bundles and other bundles over projective spaces. We also discuss...In this paper, we explicitly construct some rotationally symmetric gradient pseudo- Kahler-Ricci solitons which depend on some parameters, on some line bundles and other bundles over projective spaces. We also discuss the ＂phase change＂ phenomenon caused by the variation of parameters.展开更多
In this paper we use Böcklund transformation to construct soliton solutions for a coupled KdV system.This system was first proposed by Wang in 2010.First we generalize the well-known Bäcklund transformation ...In this paper we use Böcklund transformation to construct soliton solutions for a coupled KdV system.This system was first proposed by Wang in 2010.First we generalize the well-known Bäcklund transformation for the KdV equation to such coupled KdV system.Then from a trivial seed solution,we construct soliton solutions.We also give a nonlinear superposition formula,which allows us to generate multi-soliton solutions.展开更多
In this paper,we study and characterize the volume estimates of geodesic balls on Finsler gradient Ricci solitons.We get the upper bounds on the volumes of geodesic balls of all three kinds of Finsler gradient Ricci s...In this paper,we study and characterize the volume estimates of geodesic balls on Finsler gradient Ricci solitons.We get the upper bounds on the volumes of geodesic balls of all three kinds of Finsler gradient Ricci solitons under certain condition about the Laplacian of thedistance function.展开更多
This study systematically investigates the attractor characteristics of harmonic solitons in a passively modelocked fiber laser.Through comprehensive analysis in both time and frequency domains,we examine the evolutio...This study systematically investigates the attractor characteristics of harmonic solitons in a passively modelocked fiber laser.Through comprehensive analysis in both time and frequency domains,we examine the evolution of pulse width,spectral bandwidth,and energy across different harmonic orders.The results demonstrate typical soliton attractor behaviors,including attractiveness,dissipativity,and self-organization.In the transition regions between harmonic orders,breathing harmonic soliton states are captured using the time-stretched dispersive Fourier transform.By comparing the breathing dynamics with the stable states,the existence and self-organizing nature of soliton attractors are further confirmed.Finally,harmonic soliton attractors are employed as programmable light sources to achieve ternary optical coding.展开更多
We employ the Hirota bilinear method to systematically derive nondegenerate bright one-and two-soliton solutions,along with degenerate bright-dark two-and four-soliton solutions for the reverse-time nonlocal nonlinear...We employ the Hirota bilinear method to systematically derive nondegenerate bright one-and two-soliton solutions,along with degenerate bright-dark two-and four-soliton solutions for the reverse-time nonlocal nonlinear Schr¨odinger equation.Beyond the fundamental nondegenerate one-soliton solution,we have identified and characterized nondegenerate breather bound state solitons,with particular emphasis on their evolution dynamics.展开更多
We propose schemes for realizing various forms of bright solitons,bright vortices,and breathing solitons in a non-resonant,incoherently pumped exciton-polariton condensate system by introducing a two-dimensional Moir&...We propose schemes for realizing various forms of bright solitons,bright vortices,and breathing solitons in a non-resonant,incoherently pumped exciton-polariton condensate system by introducing a two-dimensional Moirélattice external potential.The symmetric shape of the soliton,at the center of the potential field is determined by the rotation angle of the twodimensional Moirélattice external potential.Within a specific range of rotation angles,the stability of the soliton is governed by the depth of the second sub-lattice.These two parameters mutually influence and constrain the soliton’s characteristics,and under certain rotation angles and sub-lattice depths,a bright vortex can be formed.At low pumping levels and with carefully chosen peak-to-valley positions in the external potential,the rotation angle becomes the primary factor controlling the distinct forms of breathing bright solitons.Our proposal provides effective schemes for the formation and control of various types of bright solitons and bright vortices in systems employing Moirélattice external potentials.This scheme for realizing polariton Bose-Einstein condensates(BECs)within a Moirélattice external potential also holds promise for advancing research in fields such as superfluidity and superconductivity.展开更多
Recent theoretical verification of self-similar and dissipative pure-quartic solitons(PQSs)emphasized the similarity between PQS lasers and conventional fiber lasers,but the unique equilibrium mechanism hinders the fo...Recent theoretical verification of self-similar and dissipative pure-quartic solitons(PQSs)emphasized the similarity between PQS lasers and conventional fiber lasers,but the unique equilibrium mechanism hinders the formation of PQS molecules in normal fourth-order dispersion(FOD)regimes.In this paper,we investigated the effect of filters on shaping PQSs in normal FOD based on a passively mode-locked fiber laser model.A bandpass filter eliminates the time pedestal of dissipative PQSs,thus realizing a multi-pulsing state.When the filter bandwidth is appropriate,the effective spectral filtering effect can lower the pulse splitting threshold and enable the coherent restoration from chaotic PQSs to PQS molecules.Additionally,changing the central wavelength of the filter can generate PQSs and PQS molecules with asymmetric intensity distributions.These results are important guides for the manipulation of PQSs and the construction of high repetition-frequency fiber lasers.展开更多
We investigate the dynamic behavior of vector soliton train propagating in optical media,modeled by the coherently coupled nonlinear Schrodinger(NLS)equation.It is shown that an increase in phase parameters,induces an...We investigate the dynamic behavior of vector soliton train propagating in optical media,modeled by the coherently coupled nonlinear Schrodinger(NLS)equation.It is shown that an increase in phase parameters,induces an increase in intensity of the periodic soliton train,as well as the number of pulses for each transverse electric(TE)and transverse magnetic(TM)mode.From the perturbation approach,when examining the propagation states for the transverse electric and magnetic(TEM)mode,we found a family of three bound-vector soliton states with a different propagation parameter at the first order,representing the three possible distinct vector optical fields reconfiguration of the initial profiles one of which is the‘replication’.At the second order,we obtain an eigenvalue problem with an optical external field,giving rise to five high intensity periodic vector soliton structures described by elliptic functions.Such vector soliton trains are intended to complement single-pulse solitons for multi-channel communication applications.展开更多
Since the discovery of the electrostatic wave emissions such as broadband electrostatic noise(BEN)and electrostatic hiss in space plasmas,both kinetic and nonlinear fluid studies have been employed to study the proper...Since the discovery of the electrostatic wave emissions such as broadband electrostatic noise(BEN)and electrostatic hiss in space plasmas,both kinetic and nonlinear fluid studies have been employed to study the properties and characteristics of the solitons.Here,we use the Sagdeev pseudo-potential method to investigate the existence of the high-frequency supersolitons in a four-component unmagnetised plasma model composed of hot,warm,and cool electrons and cool ions species.All species are treated as adiabatic and are considered as stationary in our soliton analysis.Although the model supports both slow and fast electron-acoustic soliton,only the solutions of a negative-polarity supersoliton solution of the fast electron-acoustic type are discussed in this research study.It is shown that high-frequency supersoliton exists in a very narrower region of parameter space.Furthermore,the lower and upper Mach numbers for the supersolitons are computed and discussed.We have constructed the existence domains of the supersolitons,and the maximum potential amplitudes are computed.Positive potential supersolitons are not found in our numerical analysis.The importance and applications of our numerical findings in space-plasma environments are also discussed.展开更多
In the last few years,research on advanced ultrafast photonic devices has attracted great interest from laser physicists.As a semiconductor material with excellent nonlinear saturation absorption characteristics,Ga As...In the last few years,research on advanced ultrafast photonic devices has attracted great interest from laser physicists.As a semiconductor material with excellent nonlinear saturation absorption characteristics,Ga As has been used in solidstate and fiber lasers as a mode-locker.However,the pulse widths that have been reported in the searchable published literature are all long and the shortest is tens of picoseconds.Femtosecond pulse widths,desired for a variety of applications,have not yet been reported in Ga As-based pulsed lasers.In this work,we further explore the nonlinear characteristics of Ga As that has been magnetron sputtered onto the surface of a tapered fiber and its application in the generation of femtosecond lasing via effective dispersion optimization and nonlinearity management.With the enhanced interaction between evanescent waves and Ga As nanosheets,mode-locked soliton pulses as short as 830 fs are generated at repetition rates of 4.64 MHz.As far as we know,this is the first time that femtosecond-level pulses have been generated with a Ga As-based saturable absorber.In addition,soliton molecules,including in the dual-pulse state,are also realized under stronger pumping.This work demonstrates that Ga As-based photonic devices have good application prospects in effective polymorphous ultrashort pulsed laser generation.展开更多
This study presents a(2+1)-dimensional complex coupled dispersionless system.A Lax pair is proposed,and the Darboux transformation is employed to construct multisoliton solutions.These solutions exhibit a range of wav...This study presents a(2+1)-dimensional complex coupled dispersionless system.A Lax pair is proposed,and the Darboux transformation is employed to construct multisoliton solutions.These solutions exhibit a range of wave phenomena,including bright and dark solitons,S-shaped formations,parabolic profiles,and periodic wave patterns.Additionally,it is shown that the system is equivalent to the sine-Gordon equation and the negative flow of the modified Korteweg-de Vries hierarchy through appropriate transformations.展开更多
Magnetic solitons are nonlinear,local excitations in magnetic systems.In this study,we theoretically and numerically investigate the properties and generation of one-dimensional(1D)topologically trivial magnetic solit...Magnetic solitons are nonlinear,local excitations in magnetic systems.In this study,we theoretically and numerically investigate the properties and generation of one-dimensional(1D)topologically trivial magnetic solitons in ferromagnetic nanowires.An approximate analytical soliton solution described by two free parameters is validated by comparison with the micromagnetic simulation.Across an interface between two media of different anisotropy,the reflection and refraction of a soliton are highly nonlinear,which differ from linear spin waves.A pair of magnetic solitons that propagate in opposite directions can be generated by alternately applying magnetic-field or spin-polarized-current pulses of opposite directions to at least two successive regions.Each soliton corresponds to a soliton solution that can be controlled by the generation process.These magnetic solitons can be used to drive domain wall motion over a distance determined by the soliton magnitude,allowing for discrete manipulation of domain walls compatible with the digital nature of information technology.Our findings pave the way for the application of topologically trivial solitons in spintronics.展开更多
The existence and stability of the fundamental, multi-peak, and twisted solitons in Kerr nonlinear media with chirped(amplitude-modulated) lattices are reported. We discover that the chirp rate and lattice depth can d...The existence and stability of the fundamental, multi-peak, and twisted solitons in Kerr nonlinear media with chirped(amplitude-modulated) lattices are reported. We discover that the chirp rate and lattice depth can dramatically change the existence domain of solitons, the energy flow of solitons increases with increasing chirp rate or decreasing lattice depth.We also analyze how the chirp rate and lattice depth affect the stability of solitons. The stable domains of fundamental solitons and twisted solitons exhibit a multi-window distribution, while multi-peak solitons are unstable throughout the entire existence domain.展开更多
We study fundamental dark-bright solitons and the interaction of vector nonlinear Schr?dinger equations in both focusing and defocusing regimes.Classification of possible types of soliton solutions is given.There are ...We study fundamental dark-bright solitons and the interaction of vector nonlinear Schr?dinger equations in both focusing and defocusing regimes.Classification of possible types of soliton solutions is given.There are two types of solitons in the defocusing case and four types of solitons in the focusing case.The number of possible variations of two-soliton solutions depends on this classification.We demonstrate that only special types of two-soliton solutions in the focusing regime can generate breathers of the scalar nonlinear Schr?dinger equation.The cases of solitons with equal and unequal velocities in the superposition are considered.Numerical simulations confirm the validity of our exact solutions.展开更多
The optical soliton characteristics of GaSb-based~2μm wavelength integrated optical chips have broad application prospects in optoelectronic fields such as optical communications,infrared countermeasures,and gas envi...The optical soliton characteristics of GaSb-based~2μm wavelength integrated optical chips have broad application prospects in optoelectronic fields such as optical communications,infrared countermeasures,and gas environment monitoring.In the research of two-section integrated optical chips,more attention is paid to their passive mode-locked characteristics.The ability of its structure to generate stable soliton transmission has not yet been studied,which will limit its further application in high-performance near-mid infrared optoelectronic technology.In this paper,we design and prepare a GaSb-based~2μm wave-length two-section integrated semiconductor laser chip structure,and test and analyze its related properties of soliton,includ-ing power−injection current−voltage(P−I−V),temperature and mode-locked characteristics.Experimental results show that the chip can achieve stable mode-locked operation at nearly~2μm wavelength and present the working characteristics of near opti-cal soliton states and multi-peak optical soliton states.By comparing and analyzing the measured optical pulse sequence curve with the numerical fitting based on the pure fourth order soliton approximation solution,it is confirmed that the two-section integrated optical chip structure can generate stable transmission of multi-peak optical soliton.This provides a research direc-tion for developing near-mid infrared mode-locked integrated optical chips with high-performance property of optical soliton.展开更多
We explore the manipulation of gray-ring dark solitons in a two-component Bose gas with tunable soft-core interactions through numerical simulations of the time-dependent Gross-Pitaevskii equation.Our results demonstr...We explore the manipulation of gray-ring dark solitons in a two-component Bose gas with tunable soft-core interactions through numerical simulations of the time-dependent Gross-Pitaevskii equation.Our results demonstrate that the lifetime of gray solitons with periodically modulated soft-core interactions significantly depends on their initial depth.Specifically,shallower initial depths lead to longer lifetimes when exceeding a critical depth threshold.Furthermore,the soliton depth also governs the number and dynamic of vortex pairs resulting from the collapse of the ring dark soliton.These depth-dependent topological transformations open new perspectives for quantum manipulation.展开更多
基金supported by the National Natural Science Foundations of China (Grant Nos.12235007,12001424,12271324,and 12501333)the Natural Science Basic research program of Shaanxi Province (Grant Nos.2021JZ-21 and 2024JC-YBQN-0069)+3 种基金the China Postdoctoral Science Foundation (Grant Nos.2020M673332 and 2024M751921)the Fundamental Research Funds for the Central Universities (Grant No.GK202304028)the 2023 Shaanxi Province Postdoctoral Research Project (Grant No.2023BSHEDZZ186)Xi’an University,Xi’an Science and Technology Plan Wutongshu Technology Transfer Action Innovation Team(Grant No.25WTZD07)。
文摘This letter introduces the novel concept of Painlevé solitons—waves arising from the interaction between Painlevé waves and solitons in integrable systems.Painlevé solitons can also be viewed as solitons propagating against a Painlevé wave background,in analogy to the established notion of elliptic solitons,which refers to solitons on an elliptic wave background.By employing a novel symmetry decomposition method aided by nonlocal residual symmetries,we explicitly construct (extended) Painlevé Ⅱ solitons for the Korteweg-de Vries equation and (extended) Painlevé Ⅳ solitons for the Boussinesq equation.
基金supported by the Natural Science Foundation of Shandong Province(Grant No.ZR2025QC30)。
文摘We investigate the alpha helical protein structure characterized by fourth-order interspine coupling,focusing on a three-coupled fourth-order nonlinear Schr??dinger system.We introduce a generalized Darboux transformation,departing from the classical Darboux transformation.Based on this,we construct the two-and three-degenerate soliton solutions and four-degenerate asymptotic soliton solutions.Based on the asymptotic analysis,we find that the amplitudes of interacting solitons are retained upon the interactions.Elastic interactions between two degenerate solitons exhibiting four curve-type asymptotic solitons are depicted.When the lattice parameterβchanges,the velocities of the two degenerate solitons also change.Elastic interaction among three degenerate solitons comprising four curve-type asymptotic solitons and two line-type solitons is presented.Interaction among one soliton and two degenerate solitons with different velocities is shown.Elastic interaction among four degenerate solitons comprising eight curve-type asymptotic solitons is also presented.Interaction among two two-degenerate solitons with two spectral parameters is shown.The relative distance between two asymptotic solitons exhibits logarithmic growth with|t|,where t represents the retarded time.Acceleration of soliton separation decays exponentially with relative distance,and eventually approaches zero.Phase shifts depend on t.
基金supported by the National Natural Science Foundation of China under the grant numbers 11126073the Fundamental Research Funds for the Central Universities of SCUT under the grant number 2012ZB0017
文摘In this article, we study the steady, shrinking, and expanding Kahler-Ricci solitons with vanishing Bochner-Weyl tensor and prove that, under this condition, the Ricci solitons must have constant holomorphic sectional curvature.
基金supported by the Natural Science Foundation of Fujian Province(2013J01027)
文摘In this paper, we explicitly construct some rotationally symmetric gradient pseudo- Kahler-Ricci solitons which depend on some parameters, on some line bundles and other bundles over projective spaces. We also discuss the ＂phase change＂ phenomenon caused by the variation of parameters.
基金Supported by the Jiangsu Higher School Undergraduate Innovation and Entrepreneurship Training Program(202311117078Y)。
文摘In this paper we use Böcklund transformation to construct soliton solutions for a coupled KdV system.This system was first proposed by Wang in 2010.First we generalize the well-known Bäcklund transformation for the KdV equation to such coupled KdV system.Then from a trivial seed solution,we construct soliton solutions.We also give a nonlinear superposition formula,which allows us to generate multi-soliton solutions.
基金Supported by NSFC(Nos.12371051,12141101,11871126)。
文摘In this paper,we study and characterize the volume estimates of geodesic balls on Finsler gradient Ricci solitons.We get the upper bounds on the volumes of geodesic balls of all three kinds of Finsler gradient Ricci solitons under certain condition about the Laplacian of thedistance function.
基金supported by the National Natural Science Foundation of China(Grant No.12475008)the Scientific Research and Developed Fund of Zhejiang A&F University(Grant No.2021FR0009)。
文摘This study systematically investigates the attractor characteristics of harmonic solitons in a passively modelocked fiber laser.Through comprehensive analysis in both time and frequency domains,we examine the evolution of pulse width,spectral bandwidth,and energy across different harmonic orders.The results demonstrate typical soliton attractor behaviors,including attractiveness,dissipativity,and self-organization.In the transition regions between harmonic orders,breathing harmonic soliton states are captured using the time-stretched dispersive Fourier transform.By comparing the breathing dynamics with the stable states,the existence and self-organizing nature of soliton attractors are further confirmed.Finally,harmonic soliton attractors are employed as programmable light sources to achieve ternary optical coding.
基金supported by the National Natural Science Foundation of China(Grant Nos.12261131495 and 12475008)the Scientific Research and Developed Fund of Zhejiang A&F University(Grant No.2021FR0009)。
文摘We employ the Hirota bilinear method to systematically derive nondegenerate bright one-and two-soliton solutions,along with degenerate bright-dark two-and four-soliton solutions for the reverse-time nonlocal nonlinear Schr¨odinger equation.Beyond the fundamental nondegenerate one-soliton solution,we have identified and characterized nondegenerate breather bound state solitons,with particular emphasis on their evolution dynamics.
基金support from the Natural Science Foundation of Zhejiang Province of China (Grant No. LZ22A050002)the National Natural Science Foundation of China (Grant Nos. 12074343 and 11835011)support from the postdoctoral fellowship of Zhejiang Normal University (Grant No. YS304123952)
文摘We propose schemes for realizing various forms of bright solitons,bright vortices,and breathing solitons in a non-resonant,incoherently pumped exciton-polariton condensate system by introducing a two-dimensional Moirélattice external potential.The symmetric shape of the soliton,at the center of the potential field is determined by the rotation angle of the twodimensional Moirélattice external potential.Within a specific range of rotation angles,the stability of the soliton is governed by the depth of the second sub-lattice.These two parameters mutually influence and constrain the soliton’s characteristics,and under certain rotation angles and sub-lattice depths,a bright vortex can be formed.At low pumping levels and with carefully chosen peak-to-valley positions in the external potential,the rotation angle becomes the primary factor controlling the distinct forms of breathing bright solitons.Our proposal provides effective schemes for the formation and control of various types of bright solitons and bright vortices in systems employing Moirélattice external potentials.This scheme for realizing polariton Bose-Einstein condensates(BECs)within a Moirélattice external potential also holds promise for advancing research in fields such as superfluidity and superconductivity.
基金Project supported by the National Natural Science Foundation of China(Grant No.62175116)。
文摘Recent theoretical verification of self-similar and dissipative pure-quartic solitons(PQSs)emphasized the similarity between PQS lasers and conventional fiber lasers,but the unique equilibrium mechanism hinders the formation of PQS molecules in normal fourth-order dispersion(FOD)regimes.In this paper,we investigated the effect of filters on shaping PQSs in normal FOD based on a passively mode-locked fiber laser model.A bandpass filter eliminates the time pedestal of dissipative PQSs,thus realizing a multi-pulsing state.When the filter bandwidth is appropriate,the effective spectral filtering effect can lower the pulse splitting threshold and enable the coherent restoration from chaotic PQSs to PQS molecules.Additionally,changing the central wavelength of the filter can generate PQSs and PQS molecules with asymmetric intensity distributions.These results are important guides for the manipulation of PQSs and the construction of high repetition-frequency fiber lasers.
文摘We investigate the dynamic behavior of vector soliton train propagating in optical media,modeled by the coherently coupled nonlinear Schrodinger(NLS)equation.It is shown that an increase in phase parameters,induces an increase in intensity of the periodic soliton train,as well as the number of pulses for each transverse electric(TE)and transverse magnetic(TM)mode.From the perturbation approach,when examining the propagation states for the transverse electric and magnetic(TEM)mode,we found a family of three bound-vector soliton states with a different propagation parameter at the first order,representing the three possible distinct vector optical fields reconfiguration of the initial profiles one of which is the‘replication’.At the second order,we obtain an eigenvalue problem with an optical external field,giving rise to five high intensity periodic vector soliton structures described by elliptic functions.Such vector soliton trains are intended to complement single-pulse solitons for multi-channel communication applications.
基金support of the University of Kwa Zulu Natalthe Walter Sisulu University。
文摘Since the discovery of the electrostatic wave emissions such as broadband electrostatic noise(BEN)and electrostatic hiss in space plasmas,both kinetic and nonlinear fluid studies have been employed to study the properties and characteristics of the solitons.Here,we use the Sagdeev pseudo-potential method to investigate the existence of the high-frequency supersolitons in a four-component unmagnetised plasma model composed of hot,warm,and cool electrons and cool ions species.All species are treated as adiabatic and are considered as stationary in our soliton analysis.Although the model supports both slow and fast electron-acoustic soliton,only the solutions of a negative-polarity supersoliton solution of the fast electron-acoustic type are discussed in this research study.It is shown that high-frequency supersoliton exists in a very narrower region of parameter space.Furthermore,the lower and upper Mach numbers for the supersolitons are computed and discussed.We have constructed the existence domains of the supersolitons,and the maximum potential amplitudes are computed.Positive potential supersolitons are not found in our numerical analysis.The importance and applications of our numerical findings in space-plasma environments are also discussed.
基金Project supported by the National Natural Science Foundation of China(Grant No.12164030)Young Science and Technology Talents of Inner Mongolia,China(Grant No.NJYT22101)+1 种基金the Central Government Guides Local Science,the Technology Development Fund Projects(Grant No.2023ZY0005)the Science and Technology Plan Projects of Inner Mongolia Autonomous Region of China(Grant No.2023KYPT0012)。
文摘In the last few years,research on advanced ultrafast photonic devices has attracted great interest from laser physicists.As a semiconductor material with excellent nonlinear saturation absorption characteristics,Ga As has been used in solidstate and fiber lasers as a mode-locker.However,the pulse widths that have been reported in the searchable published literature are all long and the shortest is tens of picoseconds.Femtosecond pulse widths,desired for a variety of applications,have not yet been reported in Ga As-based pulsed lasers.In this work,we further explore the nonlinear characteristics of Ga As that has been magnetron sputtered onto the surface of a tapered fiber and its application in the generation of femtosecond lasing via effective dispersion optimization and nonlinearity management.With the enhanced interaction between evanescent waves and Ga As nanosheets,mode-locked soliton pulses as short as 830 fs are generated at repetition rates of 4.64 MHz.As far as we know,this is the first time that femtosecond-level pulses have been generated with a Ga As-based saturable absorber.In addition,soliton molecules,including in the dual-pulse state,are also realized under stronger pumping.This work demonstrates that Ga As-based photonic devices have good application prospects in effective polymorphous ultrashort pulsed laser generation.
文摘This study presents a(2+1)-dimensional complex coupled dispersionless system.A Lax pair is proposed,and the Darboux transformation is employed to construct multisoliton solutions.These solutions exhibit a range of wave phenomena,including bright and dark solitons,S-shaped formations,parabolic profiles,and periodic wave patterns.Additionally,it is shown that the system is equivalent to the sine-Gordon equation and the negative flow of the modified Korteweg-de Vries hierarchy through appropriate transformations.
基金supported by the National Natural Science Foundation of China(Grants Nos.11804045 and 12174093)the Natural Science Foundation of Hunan Province of China(Grant No.2025JJ60001)the Fundamental Research Funds for the Central Universities。
文摘Magnetic solitons are nonlinear,local excitations in magnetic systems.In this study,we theoretically and numerically investigate the properties and generation of one-dimensional(1D)topologically trivial magnetic solitons in ferromagnetic nanowires.An approximate analytical soliton solution described by two free parameters is validated by comparison with the micromagnetic simulation.Across an interface between two media of different anisotropy,the reflection and refraction of a soliton are highly nonlinear,which differ from linear spin waves.A pair of magnetic solitons that propagate in opposite directions can be generated by alternately applying magnetic-field or spin-polarized-current pulses of opposite directions to at least two successive regions.Each soliton corresponds to a soliton solution that can be controlled by the generation process.These magnetic solitons can be used to drive domain wall motion over a distance determined by the soliton magnitude,allowing for discrete manipulation of domain walls compatible with the digital nature of information technology.Our findings pave the way for the application of topologically trivial solitons in spintronics.
基金Project supported by the Science and Technology Project of Hebei Education Department, China (Grant No. ZD2020200)the Innovation Capability Improvement Project of Hebei Province, China (Grant No. 22567605H)。
文摘The existence and stability of the fundamental, multi-peak, and twisted solitons in Kerr nonlinear media with chirped(amplitude-modulated) lattices are reported. We discover that the chirp rate and lattice depth can dramatically change the existence domain of solitons, the energy flow of solitons increases with increasing chirp rate or decreasing lattice depth.We also analyze how the chirp rate and lattice depth affect the stability of solitons. The stable domains of fundamental solitons and twisted solitons exhibit a multi-window distribution, while multi-peak solitons are unstable throughout the entire existence domain.
基金supported by the NSFC(Grants Nos.12175178and 12247103)Shaanxi Fundamental Science Research Project for Mathematics and Physics(Grant No.22JSY016)Graduate innovation project of Northwest University(Grant No.CX2024137)。
文摘We study fundamental dark-bright solitons and the interaction of vector nonlinear Schr?dinger equations in both focusing and defocusing regimes.Classification of possible types of soliton solutions is given.There are two types of solitons in the defocusing case and four types of solitons in the focusing case.The number of possible variations of two-soliton solutions depends on this classification.We demonstrate that only special types of two-soliton solutions in the focusing regime can generate breathers of the scalar nonlinear Schr?dinger equation.The cases of solitons with equal and unequal velocities in the superposition are considered.Numerical simulations confirm the validity of our exact solutions.
基金the National Natural Science Foundation of China(Grant Nos.62274048,62464006,62174046)the Ministry of Education,Singapore(Grant No.MOE-T2EP50121-0005)+1 种基金Hainan Province Science and Technology Special Fund(Grant No.ZDYF2025GXJS007)National Key R&D Program of China(Grant No.2023YFF0722400).
文摘The optical soliton characteristics of GaSb-based~2μm wavelength integrated optical chips have broad application prospects in optoelectronic fields such as optical communications,infrared countermeasures,and gas environment monitoring.In the research of two-section integrated optical chips,more attention is paid to their passive mode-locked characteristics.The ability of its structure to generate stable soliton transmission has not yet been studied,which will limit its further application in high-performance near-mid infrared optoelectronic technology.In this paper,we design and prepare a GaSb-based~2μm wave-length two-section integrated semiconductor laser chip structure,and test and analyze its related properties of soliton,includ-ing power−injection current−voltage(P−I−V),temperature and mode-locked characteristics.Experimental results show that the chip can achieve stable mode-locked operation at nearly~2μm wavelength and present the working characteristics of near opti-cal soliton states and multi-peak optical soliton states.By comparing and analyzing the measured optical pulse sequence curve with the numerical fitting based on the pure fourth order soliton approximation solution,it is confirmed that the two-section integrated optical chip structure can generate stable transmission of multi-peak optical soliton.This provides a research direc-tion for developing near-mid infrared mode-locked integrated optical chips with high-performance property of optical soliton.
基金supported by the National Natural Science Foundation of China(Grant Nos.12175129,12475004,12175027,12005125)the Key Research Program of Frontier Sciences of the Chinese Academy of Sciences(Grant No.ZDBSLY7016)+4 种基金the Shaanxi Fundamental Science Research Project for Mathematics and Physics(Grant No.22JSY034)the Key Research and Development Projects of Shaanxi ProvinceChina(Grant No.2024GX-YBXM-564)the Scientific Research Program Funded by Shaanxi Provincial Education Department(Grant No.23JP020)the Youth Innovation Team of Shaanxi Universities。
文摘We explore the manipulation of gray-ring dark solitons in a two-component Bose gas with tunable soft-core interactions through numerical simulations of the time-dependent Gross-Pitaevskii equation.Our results demonstrate that the lifetime of gray solitons with periodically modulated soft-core interactions significantly depends on their initial depth.Specifically,shallower initial depths lead to longer lifetimes when exceeding a critical depth threshold.Furthermore,the soliton depth also governs the number and dynamic of vortex pairs resulting from the collapse of the ring dark soliton.These depth-dependent topological transformations open new perspectives for quantum manipulation.
