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Analysis of Sperm Membrane Protein Relevant to Antisperm Antibody by Two-Dimensional Gel Electrophoresis and Western Blotting 被引量:3
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作者 Hao-fei WANG 1, Zhu-qiong XIANG 2, Yi-xing WANG 2 1. Department of Urology, Ruijin Hospital, Shanghai Second Medical University, Shanghai 200025,China 2. Department of Urology, Renji Hospital, Shanghai Second Medical University, Shanghai 200025,China 《Journal of Reproduction and Contraception》 CAS 2003年第3期147-156,共10页
Objective To identify the sperm membrane proteins that are associated with antisperm antibody Methods Using antisperm antibody positive serum through unidimensional polyacrylamide gel electrophoresis and 2-dimensi... Objective To identify the sperm membrane proteins that are associated with antisperm antibody Methods Using antisperm antibody positive serum through unidimensional polyacrylamide gel electrophoresis and 2-dimensional gel electrophoresis followed by Western blot analysis to determine the molecular weights (MW) and isoelectric points (pI) of sperm membrane proteins that are associated with antisperm antibody. Results Eight kinds of MW with more than ten sperm membrane proteins can be recognized by antisperm antibody positive serum, of which the MWs and pI were 23 kD, 31 kD, 32 kD, 34 kD, 41 kD, 51 kD, 60 kD, 78 kD and 5.3, 5.5,5.7, 5.0, 5.3, 5.8, 6.0, 5.5~6.2, 4.6,5.1,5.5~5.8 respectively. The identification ratios of the sperm membrane proteins on 78 kD (60.7%), 60 kD (71.4%), 51 kD (14.9%) and 23 kD (14.29%) were higher. Conclusion The sperm membrane proteins with MW of 78 kD, 60 kD, 51 kD and 23 kD were associated with antisperm antibody and immunological infertility. Two- dimensional gel electrophoresis and Western blotting can precisely identify the sperm membrane proteins that are associated with antisperm antibody. 展开更多
关键词 immunological infertility antisperm antibody sperm membrane protein 2-dimensional gel electrophoresis
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New types of nondegenerate solitons for a(2+1)-dimensional coupled system
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作者 Yong Meng Hafiz Wajahat Ahmed Riaz Ji Lin 《Communications in Theoretical Physics》 2025年第9期1-9,共9页
In this paper,we investigate the(2+1)-dimensional three-component long-wave-short-wave resonance interaction system,which describes complex systems and nonlinear wave phenomena in physics.By employing the Hirota bilin... In this paper,we investigate the(2+1)-dimensional three-component long-wave-short-wave resonance interaction system,which describes complex systems and nonlinear wave phenomena in physics.By employing the Hirota bilinear method,we derive the general nondegenerate N-soliton solution of the system,where each short-wave component contains N arbitrary functions of the independent variable y.The presence of these arbitrary functions in the analytical solution enables the construction of a wide range of nondegenerate soliton types.Finally,we illustrate the structural features of several novel nondegenerate solitons,including M-shaped,multiple double-hump,and sawtooth double-striped solitons,as well as interactions between nondegenerate solitons,such as dromion-like solitons and solitoffs,with the aid of figures. 展开更多
关键词 (2+1)-dimensional coupled system general nondegenerate N-soliton solution arbitrary functions modulation waveform
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NONLINEAR WAVE TRANSITIONS AND THEIR MECHANISMS OF THE(2+1)-DIMENSIONAL KORTEWEG-DE VRIES-SAWADA-KOTERA-RAMANI EQUATION
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作者 Haolin WANG Shoufu TIAN Tiantian ZHANG 《Acta Mathematica Scientia》 2025年第4期1405-1437,共33页
In this work,we study wave state transitions of the(2+1)-dimensional Kortewegde Vries-Sawada-Kotera-Ramani(2KdVSKR)equation by analyzing the characteristic line and phase shift.By converting the wave parameters of the... In this work,we study wave state transitions of the(2+1)-dimensional Kortewegde Vries-Sawada-Kotera-Ramani(2KdVSKR)equation by analyzing the characteristic line and phase shift.By converting the wave parameters of the N-soliton solution into complex numbers,the breath wave solution is constructed.The lump wave solution is derived through the long wave limit method.Then,by choosing appropriate parameter values,we acquire a number of transformed nonlinear waves whose gradient relation is discussed according to the ratio of the wave parameters.Furthermore,we reveal transition mechanisms of the waves by exploring the nonlinear superposition of the solitary and periodic wave components.Subsequently,locality,oscillation properties and evolutionary phenomenon of the transformed waves are presented.And we also prove the change in the geometrical properties of the characteristic lines leads to the phenomena of wave evolution.Finally,for higher-order waves,a range of interaction models are depicted along with their evolutionary phenomena.And we demonstrate that their diversity is due to the fact that the solitary and periodic wave components produce different phase shifts caused by time evolution and collisions. 展开更多
关键词 the(2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation characteristic line transformed nonlinear waves phase shift collision
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Open-Ocean Shallow-Water Dynamics via a(2+1)-Dimensional Generalized Variable-Coefficient Hirota-Satsuma-Ito System: Oceanic Auto-B?cklund Transformation and Oceanic Solitons
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作者 GAO Xin-yi 《China Ocean Engineering》 2025年第3期541-547,共7页
Recently, during the investigations on planetary oceans, Hirota-Satsuma-Ito-type models have been developed. In this paper, for a(2+1)-dimensional generalized variable-coefficient Hirota-Satsuma-Ito system describing ... Recently, during the investigations on planetary oceans, Hirota-Satsuma-Ito-type models have been developed. In this paper, for a(2+1)-dimensional generalized variable-coefficient Hirota-Satsuma-Ito system describing the fluid dynamics of shallow-water waves in an open ocean, non-characteristic movable singular manifold and symbolic computation enable an oceanic auto-B?cklund transformation with three sets of the oceanic solitonic solutions. The results rely on the oceanic variable coefficients in that system. Future oceanic observations might detect some nonlinear features predicted in this paper, and relevant oceanographic insights might be expected. 展开更多
关键词 OCEAN shallow water (2+1)-dimensional generalized variable-coefficient Hirota-Satsuma-Ito system singular manifold symbolic computation B?cklund transformation soliton
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Proteome analysis of round-headed and normal spermatozoa by 2-D fluorescence difference gel electrophoresis and mass spectrometry 被引量:9
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作者 Ting-Ting Liao Zhen Xiang Wen-Bing Zhu Li-Qing Fan 《Asian Journal of Andrology》 SCIE CAS CSCD 2009年第6期683-694,共12页
Globozoospermia is a severe form of teratozoospermia characterized by round-headed spermatozoa with an absent acrosome, an aberrant nuclear membrane and midpiece defects. Globozoospermia is diagnosed by the presence o... Globozoospermia is a severe form of teratozoospermia characterized by round-headed spermatozoa with an absent acrosome, an aberrant nuclear membrane and midpiece defects. Globozoospermia is diagnosed by the presence of 100% round-headed spermatozoa on semen analysis, and patients with this condition are absolutely infertile. The objective of this study was to investigate the differences in protein expression between human round- headed and normal spermatozoa. Two-dimensional (2-D) fluorescence difference gel electrophoresis (DIGE) coupled with mass spectrometry (MS) was used in this study. Over 61 protein spots were analysed in each paired normal/round-headed comparison, using DIGE technology along with an internal standard. In total, 35 protein spots identified by tandem mass spectrometry (MS/MS) exhibited significant changes (paired t-test, P 〈 0.05) in the expression level between normal and round-headed spermatozoa. A total of nine proteins were found to be upregulated and 26 proteins were found to be downregulated in round-headed spermatozoa compared with normal spermatozoa. The differentially expressed proteins that we identified may have important roles in a variety of cellular processes and structures, including spermatogenesis, cell skeleton, metabolism and spermatozoa motility. 展开更多
关键词 differential protein GLOBOZOOSPERMIA mass spectrometry (MS) two-dimensional difference gel electrophoresis 2-D DIGE)
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Determination of urinary 8-hydroxy-2′-deoxyguanosine by capillary electrophoresis with molecularly imprinted monolith in-tube solid phase microextraction 被引量:6
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作者 Zhang, Shao Wen Zou, Cun Jie +4 位作者 Luo, Nan Weng, Qian Feng Cai, Ling Shuang Wu, Cai Ying Xing, Jun 《Chinese Chemical Letters》 SCIE CAS CSCD 2010年第1期85-88,共4页
Urinary 8-hydroxy-2 -deoxyguanosine(8-OHdG) is an excellent marker of oxidative DNA damage.In this study,employing guanosine as dummy template a novel molecularly imprinted(MIP) monolithic capillary column had been sy... Urinary 8-hydroxy-2 -deoxyguanosine(8-OHdG) is an excellent marker of oxidative DNA damage.In this study,employing guanosine as dummy template a novel molecularly imprinted(MIP) monolithic capillary column had been synthesized,and that was used as medium of in-tube solid phase microextraction(SPME).Coupled with capillary electrophoresis-electrochemical detection(CE-ECD),the system of extraction and detection of 8-OHdG in urinary sample had been developed.Because of its greater phase ratio combined with conv... 展开更多
关键词 Molecularly imprinted monolith In-tube solid phase microextraction 8-Hydroxy-2 -deoxyguanosine(8-OHdG) electrophoresis Urine
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A Variable Separation Approach to Solve the Integrable and Nonintegrable Models:Coherent Structures of the (2 + 1)-Dimensional KdV Eqnation 被引量:8
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作者 TANG Xiao-Yan LOU Sen-Yue 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第7期1-8,共8页
We study the localized coherent structures ofa generally nonintegrable (2+ 1 )-dimensional KdV equation via a variable separation approach. In a special integrable case, the entrance of some arbitrary functions leads ... We study the localized coherent structures ofa generally nonintegrable (2+ 1 )-dimensional KdV equation via a variable separation approach. In a special integrable case, the entrance of some arbitrary functions leads to abundant coherent structures. However, in the general nonintegrable case, an additional condition has to be introduced for these arbitrary functions. Although the additional condition has been introduced into the solutions of the nonintegrable KdV equation, there still exist many interesting solitary wave structures. Especially, the nonintegrable KdV equation possesses the breather-like localized excitations, and the similar static ring soliton solutions as in the integrable case. Furthermor,in the integrable case, the interaction between two travelling ring solitons is elastic, while in the nonintegrable case we cannot find even the single travelling ring soliton solution. 展开更多
关键词 variable SEPARATION approach INTEGRABLE and nonintegrable models (2+1)-dimensional SOLITONS
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Exotic Localized Coherent Structures of New (2+1)-Dimensional Soliton Equation 被引量:8
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作者 ZHANG Jie-Fang HUANG Wen-Hua ZHENG Chun-Long 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第11期517-522,共6页
The variable separation approach is used to obtain localized coherent structures of the new (2+1)-dimensional nonlinear partialdifferential equation. Applying the Backlund transformation and introducing the arbitraryf... The variable separation approach is used to obtain localized coherent structures of the new (2+1)-dimensional nonlinear partialdifferential equation. Applying the Backlund transformation and introducing the arbitraryfunctions of the seed solutions, the abundance of the localized structures of this model are derived. Some special types ofsolutions solitoff, dromions, dromion lattice, breathers and instantons are discussed by selecting the arbitrary functionsappropriately. The breathers may breath in their amplititudes, shapes, distances among the peaks and even the numberof the peaks. 展开更多
关键词 variable separation approach coherent structures NEW (2+1)-dimensional SOLITON equation
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Role of 2-dimensional Doppler echo-cardiography in screening portopulmonary hypertension in portal hypertension patients 被引量:7
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作者 Hua, Rong Sun, Yong-Wei +4 位作者 Wu, Zhi-Yong Cheng, Wei Xu, Qing Cao, Hui Luo, Meng 《Hepatobiliary & Pancreatic Diseases International》 SCIE CAS 2009年第2期157-161,共5页
BACKGROUND: Portopulmonary hypertension (PPH) is difficult to recognize in the early and middle stages because it is frequently asymptomatic. As right ventricular function is impaired in patients with moderate and sev... BACKGROUND: Portopulmonary hypertension (PPH) is difficult to recognize in the early and middle stages because it is frequently asymptomatic. As right ventricular function is impaired in patients with moderate and severe PPH, any dramatic hemodynamic changes in liver transplantation or other procedures may result in death from pulmonary and cardiac events. In this study, we investigated the prevalence of PPH in patients with portal hypertension (PHT) mainly caused by hepatitis B virus, and evaluated the effect of 2-dimensional Doppler echocardiography (2D-ECHO) in screening for PPH. METHODS: One hundred and five PHT patients received transthoracic 2D-ECHO preoperatively, systolic pulmonary arterial pressure (SPAP, normal range <30 mmHg) and pulmonary acceleration time (PAT, normal range >= 120 msec) were measured to screen for PPH (positive result: SPAP >= 30 mmHg and/or PAT <100 msec). Subsequently, pulmonary hemodynamic parameters were measured by right heart catheterization (RHC) for definitive diagnosis of PPH. The results of the two methods were compared to assess the screening effect of 2D-ECHO. RESULTS: The prevalence of PPH in this study was 3.8% (4/105). About 90% (95/105) of patients had a detectable tricuspid regurgitation by 2D-ECHO and the mean SPAP was 27.7 +/- 5.9 mmHg. Twenty-two of these 95 patients had an SPAP >30 mmHg. The mean PAT of all patients was 140 23 msec and 5 were <100 msec. Twenty-two patients were screened out by 2D-ECHO and 4 were diagnosed by RHC. A positive significant correlation (r=0.55, P<0.01) was found between SPAP measured by 2D-ECHO and mean pulmonary artery pressure (MPAP) measured by RHC, and a weak but significant negative correlation (r=-0.27, P=0.005) existed between PAT and pulmonary vascular resistance (PVR). The sensitivity, specificity, agreement rate, positive predictive value and negative predictive value of the screening test were 100%, 82%, 83%, 18% and 100%, respectively. CONCLUSIONS: The prevalence of PPH in this study is lower than in Western countries. As a screening test, 2D-ECHO has very high sensitivity and negative predictive value. A negative test result can directly be used to exclude PPH, while a positive result should be confirmed by RHC. 展开更多
关键词 portopulmonary hypertension 2-dimensional Doppler echocardiography right heart catheterization PREVALENCE diagnosis
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Study of (2+1)-Dimensional Higher-Order Broer-Kaup System 被引量:8
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作者 WANG Ling LIU Xi-Qiang DONG Zhong-Zhou 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第3期403-408,共6页
Painleve property and infinite symmetries of the (2+1)-dimensional higher-order Broer-Kaup (HBK) system are studied in this paper. Using the modified direct method, we derive the theorem of general symmetry gro.u... Painleve property and infinite symmetries of the (2+1)-dimensional higher-order Broer-Kaup (HBK) system are studied in this paper. Using the modified direct method, we derive the theorem of general symmetry gro.ups to (2+1)-dimensional HBK system. Based on our theorem, some new forms of solutions are obtained. We also find infinite number of conservation laws of the (2+1)-dimensional HBK system. 展开更多
关键词 2+1)-dimensional HBK system Painleve property SYMMETRIES exact solution conservation laws
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Lump Solutions and Interaction Phenomenon for (2+1)-Dimensional Sawada–Kotera Equation 被引量:10
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作者 黄丽丽 陈勇 《Communications in Theoretical Physics》 SCIE CAS CSCD 2017年第5期473-478,共6页
In this paper, a class of lump solutions to the (2+1)-dimensional Sawada–Kotera equation is studied by searching for positive quadratic function solutions to the associated bilinear equation. To guarantee rational lo... In this paper, a class of lump solutions to the (2+1)-dimensional Sawada–Kotera equation is studied by searching for positive quadratic function solutions to the associated bilinear equation. To guarantee rational localization and analyticity of the lumps, some sufficient and necessary conditions are presented on the parameters involved in the solutions. Then, a completely non-elastic interaction between a lump and a stripe of the(2+1)-dimensional Sawada–Kotera equation is obtained, which shows a lump solution is drowned or swallowed by a stripe soliton. Finally, 2-dimensional curves, 3-dimensional plots and density plots with particular choices of the involved parameters are presented to show the dynamic characteristics of the obtained lump and interaction solutions. 展开更多
关键词 lump solution interaction solution Hirota bilinear method (2+1)-dimensional Sawada–Kotera equation
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A New Rational Algebraic Approach to Find Exact Analytical Solutions to a (2+1)-Dimensional System 被引量:7
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作者 BAI Cheng-Jie ZHAO Hong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第5X期801-810,共10页
In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential equations. Compared with most existing tanh methods and othe... In this paper, we present a new rational algebraic approach to uniformly construct a series of exact analytical solutions for nonlinear partial differential equations. Compared with most existing tanh methods and other sophisticated methods, the proposed method not only recovers some known solutions, but also finds some new and general solutions. The solutions obtained in this paper include rational form triangular periodic wave solutions, solitary wave solutions, and elliptic doubly periodic wave solutions. The efficiency of the method can be demonstrated on (2+1)-dimensional dispersive long-wave equation. 展开更多
关键词 rational algebraic approach 2+1)-dimensional dispersive long-wave equation exact solutions
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New Exact Solutions for (2+1)-Dimensional Breaking Soliton Equation 被引量:6
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作者 PENGYan-Ze 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第2期205-207,共3页
New exact solutions in terms of the Jacobi elliptic functions are obtained to the (2+1)-dimensional breakingsoliton equation by means of the modified mapping method. Limit cases are studied, and new solitary wave solu... New exact solutions in terms of the Jacobi elliptic functions are obtained to the (2+1)-dimensional breakingsoliton equation by means of the modified mapping method. Limit cases are studied, and new solitary wave solutionsand triangular periodic wave solutions are obtained. 展开更多
关键词 exact solutions (2+1)-dimensional breaking soliton equation modifiedmapping method
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A General Mapping Approach and New Travelling Wave Solutions to(2+1)-Dimensional Boussinesq Equation 被引量:6
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作者 ZHENGChun-Long CHENLi-Qun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第5期671-674,共4页
A general mapping deformation method is presented and applied to a (2+1)-dimensional Boussinesq system. Many new types of explicit and exact travelling wave solutions, which contain solitary wave solutions, periodic w... A general mapping deformation method is presented and applied to a (2+1)-dimensional Boussinesq system. Many new types of explicit and exact travelling wave solutions, which contain solitary wave solutions, periodic wave solutions, Jacobian and Weierstrass doubly periodic wave solutions, and other exact excitations like polynomial solutions, exponential solutions, and rational solutions, etc., are obtained by a simple algebraic transformation relation between the (2+1)-dimensional Boussinesq equation and a generalized cubic nonlinear Klein-Gordon equation. 展开更多
关键词 (2+1)-dimensional Boussinesq system general mapping approach travelling wave solution
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New Complexiton Solutions of (2+1)-Dimensional Nizhnik-Novikov-Veselov Equations 被引量:5
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作者 ZHANG Yuan-Yuan ZHENG Ying ZHANG Hong-Qing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第3X期407-414,共8页
In this paper, we extend the multiple Riccati equations rational expansion method by introducing a new ansatz. Using this method, many complexiton solutions of the (2+ 1 )-dimensional Nizhnik-Novikov-Veselov equati... In this paper, we extend the multiple Riccati equations rational expansion method by introducing a new ansatz. Using this method, many complexiton solutions of the (2+ 1 )-dimensional Nizhnik-Novikov-Veselov equations are obtained which include various combination of hyperbolic and trigonometric periodic function solutions, various combination of hyperbolic and rational function solutions, various combination of trigonometric periodic and rational function solutions, etc. The method can be also used to solve other nonlinear partial differential equations. 展开更多
关键词 rational expansion method 2+1)-dimensional Nizhnik-Novikov-Veselov equations complexiton solutions
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Interactions Between Solitons and Cnoidal Periodic Waves of the(2+1)-Dimensional Konopelchenko–Dubrovsky Equation 被引量:3
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作者 余炜沣 楼森岳 +1 位作者 俞军 杨铎 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第9期297-300,共4页
The(2+1)-dimensional Konopelchenko–Dubrovsky equation is an important prototypic model in nonlinear physics, which can be applied to many fields. Various nonlinear excitations of the(2+1)-dimensional Konopelchenko–D... The(2+1)-dimensional Konopelchenko–Dubrovsky equation is an important prototypic model in nonlinear physics, which can be applied to many fields. Various nonlinear excitations of the(2+1)-dimensional Konopelchenko–Dubrovsky equation have been found by many methods. However, it is very difficult to find interaction solutions among different types of nonlinear excitations. In this paper, with the help of the Riccati equation, the(2+1)-dimensional Konopelchenko–Dubrovsky equation is solved by the consistent Riccati expansion(CRE). Furthermore, we obtain the soliton-cnoidal wave interaction solution of the(2+1)-dimensional Konopelchenko–Dubrovsky equation. 展开更多
关键词 CONSISTENT RICCATI expansion (2+1)-dimensional KD EQUATION soliton-cnoidal wave interaction solution
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Darboux Transformations and N-soliton Solutions of Two (2+1)-Dimensional Nonlinear Equations 被引量:2
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作者 王鑫 陈勇 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第4期423-430,共8页
Two Darboux transformations of the(2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawaka(CDGKS)equation and(2+1)-dimensional modified Korteweg-de Vries(mKdV) equation are constructed through the Darboux matrix method... Two Darboux transformations of the(2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawaka(CDGKS)equation and(2+1)-dimensional modified Korteweg-de Vries(mKdV) equation are constructed through the Darboux matrix method, respectively. N-soliton solutions of these two equations are presented by applying the Darboux transformations N times. The right-going bright single-soliton solution and interactions of two and three-soliton overtaking collisions of the(2+1)-dimensional CDGKS equation are studied. By choosing different seed solutions, the right-going bright and left-going dark single-soliton solutions, the interactions of two and three-soliton overtaking collisions, and kink soliton solutions of the(2+1)-dimensional mKdV equation are investigated. The results can be used to illustrate the interactions of water waves in shallow water. 展开更多
关键词 Darboux transformation 2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawaka equation 2+1)-dimensional modified Korteweg-de Vries equation N-soliton solutions
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Resonance Y-type soliton solutions and some new types of hybrid solutions in the(2+1)-dimensional Sawada–Kotera equation 被引量:4
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作者 Jiaheng Li Qingqing Chen Biao Li 《Communications in Theoretical Physics》 SCIE CAS CSCD 2021年第4期52-57,共6页
In this paper,based on N-soliton solutions,we introduce a new constraint among parameters to find the resonance Y-type soliton solutions in(2+1)-dimensional integrable systems.Then,we take the(2+1)-dimensional Sawada... In this paper,based on N-soliton solutions,we introduce a new constraint among parameters to find the resonance Y-type soliton solutions in(2+1)-dimensional integrable systems.Then,we take the(2+1)-dimensional Sawada–Kotera equation as an example to illustrate how to generate these resonance Y-type soliton solutions with this new constraint.Next,by the long wave limit method,velocity resonance and module resonance,we can obtain some new types of hybrid solutions of resonance Y-type solitons with line waves,breather waves,high-order lump waves respectively.Finally,we also study the dynamics of these interaction solutions and indicate mathematically that these interactions are elastic. 展开更多
关键词 resonance Y-type solitons (2+1)-dimensional Sawada-Kotera equation hybrid solutions
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Symmetry Analysis and Conservation Laws to the(2+1)-Dimensional Coupled Nonlinear Extension of the Reaction-Diffusion Equation 被引量:3
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作者 陈俊超 辛祥鹏 陈勇 《Communications in Theoretical Physics》 SCIE CAS CSCD 2014年第8期173-182,共10页
In this paper, a detailed Lie symmetry analysis of the(2+1)-dimensional coupled nonlinear extension of the reaction-diffusion equation is presented. The general finite transformation group is derived via a simple dire... In this paper, a detailed Lie symmetry analysis of the(2+1)-dimensional coupled nonlinear extension of the reaction-diffusion equation is presented. The general finite transformation group is derived via a simple direct method,which is equivalent to Lie point symmetry group actually. Similarity reduction and some exact solutions of the original equation are obtained based on the optimal system of one-dimensional subalgebras. In addition, conservation laws are constructed by employing the new conservation theorem. 展开更多
关键词 (2+1)-dimensional COUPLED nonlinear REACTION-DIFFUSION equation LIE symmetry invariant solutions optimal system conservation LAWS
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The Travelling Wave Solutions for (2+1)-dimensional AKNS Equation 被引量:3
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作者 程智龙 郝晓红 《Chinese Quarterly Journal of Mathematics》 2015年第3期323-329,共7页
Based on the travelling wave method, a(2 + 1)-dimensional AKNS equation is considered. Elliptic solution and soliton solution are presented and it is shown that the soliton solution can be reduced from the elliptic so... Based on the travelling wave method, a(2 + 1)-dimensional AKNS equation is considered. Elliptic solution and soliton solution are presented and it is shown that the soliton solution can be reduced from the elliptic solution. It also proves that the result is consistent with the soliton solution of simplify Hirota bilinear method by Wazwaz and illustrate the solution are right travelling wave solution. 展开更多
关键词 (2+1)-dimensional AKNS EQUATION SOLITON SOLUTION
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