We presents a generalized(2+1)-dimensional Sharma-Tasso-Olver-Burgers(STOB)equation,unifying dissipative and dispersive wave dynamics.By introducing an auxiliary potential𝑦as a new space variable and employing...We presents a generalized(2+1)-dimensional Sharma-Tasso-Olver-Burgers(STOB)equation,unifying dissipative and dispersive wave dynamics.By introducing an auxiliary potential𝑦as a new space variable and employing a simpler deformation algorithm,we deform the(1+1)-dimensional STOB model to higher dimensions.The resulting equation is proven Lax-integrable via introducing strong and weak Lax pairs.Traveling wave solutions of the(2+1)-dimensional STOB equation are derived through an ordinary differential equation reduction,with implicit solutions obtained for a special case.Crucially,we demonstrate that the system admits dispersionless decompositions into two types:Case 1 yields non-traveling twisted kink and bell solitons,while Case 2 involves complex implicit functions governed by cubic-algebraic constraints.Numerical visualizations reveal novel anisotropic soliton structures,and the decomposition methodology is shown to generalize broadly to other higher dimensional dispersionless decomposition solvable integrable systems.展开更多
The widespread popularization and application of laser technology have provided a powerful tool for a deeper understanding of the material world and given birth to several emerging research fields.This study mainly fo...The widespread popularization and application of laser technology have provided a powerful tool for a deeper understanding of the material world and given birth to several emerging research fields.This study mainly focuses on the following three key aspects.First,the classical ensemble method is adopted to conduct a comprehensive and in-depth analysis of two-dimensional(2D)matter–wave pulses in Bose–Fermi mixed gases(including linear and nonlinear pulses).Second,under the strict constraints of unitary systems,a coupled Kd V equation is successfully derived,and the prolongation structure theory is skillfully used to carry out detailed calculations and analyses on this equation.Thus,the prolongation algebra of this equation is accurately determined,and the corresponding Lax pair is rigorously derived.Finally,based on the carefully obtained Lax pair from the prolongation structure theory,the soliton solutions of this equation are further analyzed in depth,and intuitive images of each soliton solution are carefully drawn.This lays a solid foundation for subsequent detailed research on these soliton characteristics and provides great convenience.展开更多
Moringa oleifera have laxative effects,but their active compositions and mechanisms are not very clear thus far.To this end,we systematically explored the active components and mechanism of M.oleifera leaves in reliev...Moringa oleifera have laxative effects,but their active compositions and mechanisms are not very clear thus far.To this end,we systematically explored the active components and mechanism of M.oleifera leaves in relieving constipation by using the slow transit constipation(STC)mouse model and network pharmacology.The results of animal experiments showed that M.oleifera aqueous extract(MOA)had good laxative activity,and its 70%alcohol soluble part(ASP)also showed significant laxative activity(P<0.01).Network pharmacological prediction results suggested that L-phenylalanine(Phe)was the key compound of ASP,and it might relieve constipation through tachykinin receptor 1(TACR1)and three kinds of adrenergic receptors,includingα_(1A)(ADRA1A),α_(2A)(ADRA2A),andα_(2B)(ADRA2B).Further animal experiment results showed that Phe significantly promoted gastrointestinal motility.Phe may relieve STC by enhancing the release of substance P(SP)and upregulating the m RNA expression of TACR1 in the ileum.Importantly,Phe may also promote intestinal movement by downregulating the m RNA expression of ADRA2A and ADRA2B and upregulating the m RNA expression of Calm and the m RNA and protein expression of myosin light chain 9 in the ileum,thereby activating the G protein-coupled receptor-myosin light chain signaling pathway.These results lay a foundation for the application of M.oleifera and Phe in constipation.展开更多
The aim of this paper is to study an extended modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff(mKdV-CBS)equation and present its Lax pair with a spectral parameter.Meanwhile,a Miura transformation is explored...The aim of this paper is to study an extended modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff(mKdV-CBS)equation and present its Lax pair with a spectral parameter.Meanwhile,a Miura transformation is explored,which reveals the relationship between solutions of the extended mKdV-CBS equation and the extended(2+1)-dimensional Korteweg-de Vries(KdV)equation.On the basis of the obtained Lax pair and the existing research results,the Darboux transformation is derived,which plays a crucial role in presenting soliton solutions.In addition,soliton molecules are given by the velocity resonance mechanism.展开更多
本文首先阐述了具有4 ×4 Lax对的NLS方程的来历、表示形式,并将其表示为矩阵的分块形式,通过对Lax对、特征函数以及对称性的分析,得出全局关系,并表示出s(k)和S(k)的形式,进而构造黎曼–希尔伯特问题,并通过Mn之间的关系,计算出其...本文首先阐述了具有4 ×4 Lax对的NLS方程的来历、表示形式,并将其表示为矩阵的分块形式,通过对Lax对、特征函数以及对称性的分析,得出全局关系,并表示出s(k)和S(k)的形式,进而构造黎曼–希尔伯特问题,并通过Mn之间的关系,计算出其跳跃矩阵。In this paper, the origin and representation of the square matrix NLS equation with a 4 × 4 Lax pair are first expounded, and it is expressed as the block form of the matrix. Through the analysis of lax pair, eigenfunction and symmetry, we establish the global relation and derive the explicit forms of s(k)and S(k). And then the Riemann-Hilbert problem is constructed, and its jump matrix is calculated through the relationship between Mn.展开更多
In this article,a Generalized Calogero-Bogoyavlenskii-Schiff(CBS)equation is studied,serving as an extended shallow water wave model in higher dimensions.Firstly,utilizing the Bell polynomial method,the bilinear form ...In this article,a Generalized Calogero-Bogoyavlenskii-Schiff(CBS)equation is studied,serving as an extended shallow water wave model in higher dimensions.Firstly,utilizing the Bell polynomial method,the bilinear form of the equation,bilinear Bäcklund transformation,Lax pair and infinite conservation laws are derived,confirming the equation’s complete integrability in the context of the Lax pair.Subsequently,the nonlinear superposition formula of the equation is constructed based on the derived bilinear Bäcklund transformation and an array of infinite superposition soliton solutions of the equation are formulated using this nonlinear superposition formula.Lastly,leveraging the obtained bilinear equation,infinite superposition solutions of various functional types are constructed.Their dynamic characteristics are analyzed through illustrated solution images.It is noteworthy that this paper not only uncovers a multitude of properties through the Bell polynomial method but also derives both infinite linear and nonlinear superposition solutions,enriching the diversity of solutions,these aspects have not been previously explored in existing literature.展开更多
故障现象一辆2025款上汽通用别克GL8陆尚PHEV,搭载LAX型1.5 T发动机与双挡双电机电混驱动单元,驱动电机型号为TZ210XYEED,峰值功率为160 k W,VI N码为LSGUV8N57SA01****,行驶里程仅121km。该车因无法上电,被救援拖车送至店内。据车主描...故障现象一辆2025款上汽通用别克GL8陆尚PHEV,搭载LAX型1.5 T发动机与双挡双电机电混驱动单元,驱动电机型号为TZ210XYEED,峰值功率为160 k W,VI N码为LSGUV8N57SA01****,行驶里程仅121km。该车因无法上电,被救援拖车送至店内。据车主描述,车辆提车仅3天,前2天使用一切正常,但停放一晚后便出现无法上电的情况。展开更多
基金supported by the National Natural Science Foundations of China(Grant Nos.12235007,12375003,and 11975131).
文摘We presents a generalized(2+1)-dimensional Sharma-Tasso-Olver-Burgers(STOB)equation,unifying dissipative and dispersive wave dynamics.By introducing an auxiliary potential𝑦as a new space variable and employing a simpler deformation algorithm,we deform the(1+1)-dimensional STOB model to higher dimensions.The resulting equation is proven Lax-integrable via introducing strong and weak Lax pairs.Traveling wave solutions of the(2+1)-dimensional STOB equation are derived through an ordinary differential equation reduction,with implicit solutions obtained for a special case.Crucially,we demonstrate that the system admits dispersionless decompositions into two types:Case 1 yields non-traveling twisted kink and bell solitons,while Case 2 involves complex implicit functions governed by cubic-algebraic constraints.Numerical visualizations reveal novel anisotropic soliton structures,and the decomposition methodology is shown to generalize broadly to other higher dimensional dispersionless decomposition solvable integrable systems.
基金Project supported by the National Natural Science Foundation of China(Grant No.12261072)。
文摘The widespread popularization and application of laser technology have provided a powerful tool for a deeper understanding of the material world and given birth to several emerging research fields.This study mainly focuses on the following three key aspects.First,the classical ensemble method is adopted to conduct a comprehensive and in-depth analysis of two-dimensional(2D)matter–wave pulses in Bose–Fermi mixed gases(including linear and nonlinear pulses).Second,under the strict constraints of unitary systems,a coupled Kd V equation is successfully derived,and the prolongation structure theory is skillfully used to carry out detailed calculations and analyses on this equation.Thus,the prolongation algebra of this equation is accurately determined,and the corresponding Lax pair is rigorously derived.Finally,based on the carefully obtained Lax pair from the prolongation structure theory,the soliton solutions of this equation are further analyzed in depth,and intuitive images of each soliton solution are carefully drawn.This lays a solid foundation for subsequent detailed research on these soliton characteristics and provides great convenience.
文摘Moringa oleifera have laxative effects,but their active compositions and mechanisms are not very clear thus far.To this end,we systematically explored the active components and mechanism of M.oleifera leaves in relieving constipation by using the slow transit constipation(STC)mouse model and network pharmacology.The results of animal experiments showed that M.oleifera aqueous extract(MOA)had good laxative activity,and its 70%alcohol soluble part(ASP)also showed significant laxative activity(P<0.01).Network pharmacological prediction results suggested that L-phenylalanine(Phe)was the key compound of ASP,and it might relieve constipation through tachykinin receptor 1(TACR1)and three kinds of adrenergic receptors,includingα_(1A)(ADRA1A),α_(2A)(ADRA2A),andα_(2B)(ADRA2B).Further animal experiment results showed that Phe significantly promoted gastrointestinal motility.Phe may relieve STC by enhancing the release of substance P(SP)and upregulating the m RNA expression of TACR1 in the ileum.Importantly,Phe may also promote intestinal movement by downregulating the m RNA expression of ADRA2A and ADRA2B and upregulating the m RNA expression of Calm and the m RNA and protein expression of myosin light chain 9 in the ileum,thereby activating the G protein-coupled receptor-myosin light chain signaling pathway.These results lay a foundation for the application of M.oleifera and Phe in constipation.
基金supported by the National Natural Science Foundation of China(Grant No.12271488)。
文摘The aim of this paper is to study an extended modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff(mKdV-CBS)equation and present its Lax pair with a spectral parameter.Meanwhile,a Miura transformation is explored,which reveals the relationship between solutions of the extended mKdV-CBS equation and the extended(2+1)-dimensional Korteweg-de Vries(KdV)equation.On the basis of the obtained Lax pair and the existing research results,the Darboux transformation is derived,which plays a crucial role in presenting soliton solutions.In addition,soliton molecules are given by the velocity resonance mechanism.
文摘本文首先阐述了具有4 ×4 Lax对的NLS方程的来历、表示形式,并将其表示为矩阵的分块形式,通过对Lax对、特征函数以及对称性的分析,得出全局关系,并表示出s(k)和S(k)的形式,进而构造黎曼–希尔伯特问题,并通过Mn之间的关系,计算出其跳跃矩阵。In this paper, the origin and representation of the square matrix NLS equation with a 4 × 4 Lax pair are first expounded, and it is expressed as the block form of the matrix. Through the analysis of lax pair, eigenfunction and symmetry, we establish the global relation and derive the explicit forms of s(k)and S(k). And then the Riemann-Hilbert problem is constructed, and its jump matrix is calculated through the relationship between Mn.
基金the Natural Science Foundation of Inner Mongolia Autonomous Region(Grant No.2024MS01003)the First-Class Disciplines Project,Inner Mongolia Autonomous Region,China(Grant Nos.YLXKZX-NSD-001 and YLXKZX-NSD-009)the Program for Innovative Research Team in Universities of Inner Mongolia Autonomous Region(Grant No.NMGIRT2414).
文摘In this article,a Generalized Calogero-Bogoyavlenskii-Schiff(CBS)equation is studied,serving as an extended shallow water wave model in higher dimensions.Firstly,utilizing the Bell polynomial method,the bilinear form of the equation,bilinear Bäcklund transformation,Lax pair and infinite conservation laws are derived,confirming the equation’s complete integrability in the context of the Lax pair.Subsequently,the nonlinear superposition formula of the equation is constructed based on the derived bilinear Bäcklund transformation and an array of infinite superposition soliton solutions of the equation are formulated using this nonlinear superposition formula.Lastly,leveraging the obtained bilinear equation,infinite superposition solutions of various functional types are constructed.Their dynamic characteristics are analyzed through illustrated solution images.It is noteworthy that this paper not only uncovers a multitude of properties through the Bell polynomial method but also derives both infinite linear and nonlinear superposition solutions,enriching the diversity of solutions,these aspects have not been previously explored in existing literature.
文摘故障现象一辆2025款上汽通用别克GL8陆尚PHEV,搭载LAX型1.5 T发动机与双挡双电机电混驱动单元,驱动电机型号为TZ210XYEED,峰值功率为160 k W,VI N码为LSGUV8N57SA01****,行驶里程仅121km。该车因无法上电,被救援拖车送至店内。据车主描述,车辆提车仅3天,前2天使用一切正常,但停放一晚后便出现无法上电的情况。
