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.
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.
出处
《数学杂志》
CSCD
北大核心
2010年第4期603-612,共10页
Journal of Mathematics
基金
Supported by Science Foundation of the Education Office of Guangxi Province (D2008007)
Program for Excellent Talents in Guangxi Higher Education Institutions
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
solitary wave solution
kink and anti-kink wave solution
periodic wave solution
the K（n
2n
-n） equations
