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K(n,2n,-n)方程行波解的分支
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)
作者姓名:荣继红  唐生强  黄文韬
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
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
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.

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
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)
Authors:RONG Ji-hong  TANG Sheng-qiang  HUANG Wen-tao
Affiliation:RONG Ji-hong,TANG Sheng-qiang,HUANG Wen-tao (School of Math.and Computing Sci.,Guilin University of Electronic Technology,Guilin 541004,China)
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.
Keywords:solitary wave solution  kink and anti-kink wave solution  periodic wave solution  the K (n,2n,-n) equations
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