国家自然科学基金(10671179)

作品数：7被引量：28H指数：3
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相关机构：浙江师范大学昆明理工大学更多>>
相关期刊：《Acta Mathematica Sinica,English Series》《Science China Mathematics》《浙江师范大学学报（自然科学版）》《Applied Mathematics and Mechanics(English Edition)》更多>>
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Exact Traveling Wave Solutions and Bifurcations in a Nonlinear Elastic Rod Equation被引量：3
《Acta Mathematicae Applicatae Sinica》2010年第2期283-306,共24页Ji-bin Li Tian-lan He 
Supported by the National Natural Science Foundation of China (No. 10671179)
The exact parametric representations of the traveling wave solutions for a nonlinear elastic rod equation are considered. By using the method of planar dynamical systems, in different parameter regions, the phase port...
关键词：kink wave solution periodic wave solution qualitative method BIFURCATION elliptic function 
两类Boussinesq方程的行波解分支被引量：14
《中国科学（A辑）》2008年第11期1221-1234,共14页李继彬 
国家自然科学基金(批准号:10671179)资助项目
应用动力系统理论和方法研究两类广义Boussinesq系统.在各种参数条件下,严格地证明了各种可能的光滑和非光滑孤立波解、不可数无穷多周期波解和破缺波解的存在性,计算了这些解的明显的参数表示,并确定了这些解存在的参数条件.
关键词：非线性波 分支 孤立波 明显的参数表示 广义Boussinesq系统 
Center and Isochronous Center Problems for Quasi Analytic Systems
《Acta Mathematica Sinica,English Series》2008年第9期1569-1582,共14页Yi Rong Liu Ji Bin Li 
the National Natural Science Foundation of China (10671179 and 10771196);the Natural Science Foundation of Yunnan Province (2005A0092M)
This paper considers the problems of determining center or focus and isochronous centers for the planar quasi-analytic systems. Two recursive formulas to determine the focal values and period constants are given. The ...
关键词：generalized focal value center integral periodic constant isochronous center quasi-analytic planar differential system 
Bifurcations of Travelling Wave Solutions for a Two-Component Camassa-Holm Equation被引量：6
《Acta Mathematica Sinica,English Series》2008年第8期1319-1330,共12页Ji Bin LI Yi Shen LI 
the National Natural Science Foundation of China (10671179) and (10772158)
By using the method of dynamical systems to the two-component generalization of the Camassa-Holm equation, the existence of solitary wave solutions, kink and anti-kink wave solutions, and uncountably infinite many bre...
关键词：solitary wave kink wave solution periodic wave solution breaking wave solution smooth- ness of wave 
两分量Bose-Einstein凝聚态系统的混沌与分支
《浙江师范大学学报（自然科学版）》2008年第1期1-7,共7页李继彬 陈凤娟 
国家自然科学基金资助项目(10671179)
研究了两分量Bose-Einstein凝聚态的混沌性态;用Melnikov方法严格地证明了该系统的混沌解和各阶次调和解的存在性;并用数值计算结果验证了理论的正确性.
关键词：混沌性态 次调和解分支 MELNIKOV方法 参数强迫激励 椭圆积分 
Kink wave determined by parabola solution of a nonlinear ordinary differential equation
《Applied Mathematics and Mechanics(English Edition)》2007年第7期883-892,共10页李继彬 黎明 纳静 
Project supported by the National Natural Science Foundation of China(No.10671179);the Natural Science Foundation of Yunnan Province of China(No.2003A0018M)
By finding a parabola solution connecting two equilibrium points of a planar dynamical system, the existence of the kink wave solution for 6 classes of nonlinear wave equations is shown. Some exact explicit parametric...
关键词：kink wave solution connecting orbit parabola solution nonlinear wave equation nonlinear evolution equation 
Dynamical understanding of loop soliton solution for several nonlinear wave equations被引量：6
《Science China Mathematics》2007年第6期773-785,共13页Ji-bin LI Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China Kunming University of Science and Technology, Kunming 650093, China 
This work was supported by the National Natural Science Foundation of China (Grant No. 10671179);the Natural Science Foundation of Yunnan Province (Grant No. 2005A0013M)
It has been found that some nonlinear wave equations have one-loop soliton solutions. What is the dynamical behavior of the so-called one-loop soliton solution? To answer this question, the travelling wave solutions f...
关键词：planar dynamical system homoclinic orbit solitary wave solution one-loop soliton solution periodic wave solution bifurcation nonlinear wave equation 34C37 34C23 74J30 58Z05 
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