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国家自然科学基金(10831003): 作品数：15被引量：36H指数：3; 导出分析报告; 相关作者：孙文祥钱盛更多>>; 相关机构：北京大学更多>>; 相关期刊：《Acta Mathematica Sinica,English Series》《Science China Mathematics》《Advances in Applied Mathematics and Mechanics》《Chinese Physics B》更多>>; 相关主题：HYPERBOLICDIMENSIONALINTEGRABLE_COUPLINGSHAMILTONIAN_STRUCTUREBI更多>>; 相关领域：理学动力工程及工程热物理自然科学总论更多>>

The Travelling Wave Solutions for （2＋1）-dimensional AKNS Equation被引量：3: 《Chinese Quarterly Journal of Mathematics》2015年第3期323-329,共7页程智龙郝晓红; Supported by the NSFC(10831003); 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...; 关键词：(2+1)-dimensional AKNS EQUATION SOLITON SOLUTION

Z_2-Equivariant Cubic System Which Yields 13 Limit Cycles被引量：1: 《Acta Mathematicae Applicatae Sinica》2014年第3期781-800,共20页Yi-rong LIU Ji-bin LI; Supported by the National Natural Science Foundation of China(No.11371373 and 10831003); For the planar Z2-equivariant cubic systems having two elementary focuses, the characterization of a bi-center problem and shortened expressions of the first six Lyapunov constants are completely solved. The necessary...; 关键词：planar dynamical system limit cycles BIFURCATIONS Lyapnov constant weak focus

EXACT DARK SOLITON AND ITS PERSISTENCE IN THE PERTURBED(2+1)-DIMENSIONAL DAVEY-STEWARTSON SYSTEM: 《Annals of Differential Equations》2014年第1期15-32,共18页Jibin Li; supported by the National Natural Science Foundation of China(10831003); For the Davey-Stewartson system, the exact dark solitary wave solutions, solitary wave solutions, kink wave solution and periodic wave solutions are studied. To guarantee the existence of the above solutions, all para...; 关键词：Davey-Stewartson system singular traveling wave equation dark solitary wave solution kink wave solution periodic wave solution exact explicit solution

Non-Semisimple Lie Algebras of Block Matrices and Applications to Bi-Integrable Couplings: 《Advances in Applied Mathematics and Mechanics》2013年第5期652-670,共19页Jinghan Meng Wen-Xiu Ma; This work was supported by the Department of Mathematics and Statistics of the University of South Florida,the State Administration of Foreign Experts Affairs of China,the Natural Science Foundation of Shanghai(No.09ZR1410800);the National Natural Science Foundation of China(Nos.10971136,10831003,61072147 and 11071159);Chunhui Plan of the Ministry of Education of China.J.H.Meng and W.X.Ma/Adv.Appl.Math.Mech.,5(2013),pp.652-670669 References。; We propose a class of non-semisimple matrix loop algebras consisting of 3×3 block matrices,and form zero curvature equations from the presented loop algebras to generate bi-integrable couplings.Applications are made ...; 关键词：Bi-integrable couplings non-semisimple matrix loop algebras AKNS hierarchy Hamiltonian structure SYMMETRY

Riemann theta function periodic wave solutions for the variable-coefficient mKdV equation被引量：1: 《Chinese Physics B》2012年第12期23-30,共8页张翼程智龙郝晓红; Project supported by the National Natural Science Foundation of China(Grant Nos.10771196 and 10831003);the Innovation Project of Zhejiang Province of China(Grant No.T200905); In this paper, a variable-coefficient modified Korteweg-de Vries （vc-mKdV） equation is considered. Bilinear forms are presented to explicitly construct periodic wave solutions based on a multidimensional Riemann the...; 关键词：variable-coefficient mKdV equation Riemann theta function soliton solutions periodic wave solutions

A refined invariant subspace method and applications to evolution equations被引量：21: 《Science China Mathematics》2012年第9期1769-1778,共10页MA Wen-Xiu; supported by the State Administration of Foreign Experts Affairs of China,National Natural Science Foundation of China (Grant Nos. 10971136,10831003,61072147,11071159);Chunhui Plan of the Ministry of Education of China,Zhejiang Innovation Project (Grant No. T200905);the Natural Science Foundation of Shanghai and the Shanghai Leading Academic Discipline Project (Grant No.J50101); The invariant subspace method is refined to present more unity and more diversity of exact solutions to evolution equations. The key idea is to take subspaces of solutions to linear ordinary differential equations as ...; 关键词：invariant subspace generalized separation of variables evolution equation

Deviation Property of Periodic Measures in C^1 Non-uniformly Hyperbolic Systems with Limit Domination被引量：3: 《Acta Mathematica Sinica,English Series》2012年第9期1727-1740,共14页Sheng QIAN Wen Xiang SUN Xue Ting TIAN; supported by National Natural Science Foundation of China (Grant Nos. 10671006);supported by National Natural Science Foundation of China (Grant Nos. 10671006, 10831003);National Basic Research Program of China (973 Program, 2006CB805903);supported by CAPES (Brazil); In a C1 non-uniformly hyperbolic systems with limit domination, we consider the periodic measures that supported on the Pesin set and keep a distance at least 6 to a hyperbolic ergodic measure μ given before. And the...; 关键词：Exponential growth rate generalized entropy large deviation limit domination Pesin set

The Exact Traveling Wave Solutions to Two Integrable KdV6 Equations: 《Chinese Annals of Mathematics,Series B》2012年第2期179-190,共12页Jibin LI Yi ZHANG; Project supported by the National Natural Science Foundation of China (Nos.10771196,10831003);the Innovation Project of Zhejiang Province (No.T200905); The exact explicit traveling solutions to the two completely integrable sixthorder nonlinear equations KdV6 are given by using the method of dynamical systems and Cosgrove's work.It is proved that these traveling wave...; 关键词：KdV6 equation Exact traveling wave solution Solitary wave solution Quasi-periodic wave solution

Loop Algebras and Bi-integrable Couplings被引量：4: 《Chinese Annals of Mathematics,Series B》2012年第2期207-224,共18页Wenxiu MA; Project supported by the State Administration of Foreign Experts Affairs of China;the National Natural Science Foundation of China (Nos.10971136,10831003,61072147,11071159);the Chunhui Plan of the Ministry of Education of China;the Innovation Project of Zhejiang Province (No.T200905);the Natural Science Foundation of Shanghai (No.09ZR1410800);the Shanghai Leading Academic Discipline Project (No.J50101); A class of non-semisimple matrix loop algebras consisting of triangular block matrices is introduced and used to generate bi-integrable couplings of soliton equations from zero curvature equations.The variational iden...; 关键词：Loop algebra Bi-integrable coupling Zero curvature equation SYMMETRY Hamiltonian structure

The Structure on Invariant Measures of C^1 Generic Diffeomorphisms: 《Acta Mathematica Sinica,English Series》2012年第4期817-824,共8页Wen Xiang SUN Xue Ting TIAN; supported by National Natural Science Foundation(Grant Nos.10671006,10831003);supported by CAPES(Brazil); Let Λ be an isolated non-trivial transitive set of a C1 generic diffeomorphism f ∈ Diff（M）. We show that the space of invariant measures supported on A coincides with the space of accumulation measures of time ave...; 关键词：Generic property invariant measure and periodic measure hyperbolic basic set topolog-ically transitive irregular point

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