| K(n,2n,-n)方程行波解的分支 |
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| 引用本文： | 荣继红,唐生强,黄文韬. K(n,2n,-n)方程行波解的分支[J]. 数学杂志, 2010, 30(4) |
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| 作者姓名： | 荣继红 唐生强 黄文韬 |
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| 作者单位： | 桂林电子科技大学数学与计算科学学院,广西,桂林,541004 |
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| 基金项目： | Supported by Science Foundation of the Education Office of Guangxi Province (D2008007); Program for Excellent Talents in Guangxi Higher Education Institutions |
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| 摘 要： | 本文研究了K(n,2n,-n)方程行波解与参数a,b,c,g,n等的关系.利用动力系统分支理论,得到了孤立波、扭结和反扭结波解,以及不可数无穷多光滑周期波解的存在性.本文推广了文献[1]中的结果.
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| 关 键 词： | 孤立波解 扭结和反扭结波解 周期波解 K(n,2n,-n)方程 |
BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR THE K(n, 2n,-n) EQUATIONS |
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| RONG Ji-hong,TANG Sheng-qiang,HUANG Wen-tao. BIFURCATIONS OF TRAVELLING WAVE SOLUTIONS FOR THE K(n, 2n,-n) EQUATIONS[J]. Journal of Mathematics, 2010, 30(4) |
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| Authors: | RONG Ji-hong TANG Sheng-qiang HUANG Wen-tao |
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| Affiliation: | RONG Ji-hong,TANG Sheng-qiang,HUANG Wen-tao (School of Math.and Computing Sci.,Guilin University of Electronic Technology,Guilin 541004,China) |
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| Abstract: | In this article, the relationship between travelling wave solution of the K(n, 2n,-n) equations and parameters a, b, c,g, n is studied. By using the bifurcation theory of dynamical systems, the existence of solitary wave solutions, kink and anti-kink wave solutions and uncountable infinitely many smooth periodic wave solutions is obtained. The result in [1] is extended. |
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| Keywords: | solitary wave solution kink and anti-kink wave solution periodic wave solution the K (n,2n,-n) equations |
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