广义双耦合sinh-cosh-Gordon方程行波解的分支  

Bifurcation of traveling wave solutions for the double combined sinh-cosh-Gordon equations

作　　者：唐生强[1] 林松涛[1] 

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004

出　　处：《桂林电子科技大学学报》2007年第3期232-235,共4页Journal of Guilin University of Electronic Technology

基　　金：广西科学基金(0575092);新世纪广西高等教育教学改革工程重点立项项目

摘　　要：运用平面动力系统理论、分支理论和直接方法,研究了广义双耦合sinh-cosh-Gordon方程,证明该方程存在无界行波解和不可数无穷多光滑周期行波解。并在不同的参数条件下,给出了该方程无界行波解和周期行波解存在的各类充分条件,在所给出的参数条件下求出了系统(3)的所有显示精确行波解。The theory of dynamical systems, the theory of bifurcation, and the direct method are referred to in investigating the generalized double combined sinh-cosh-Gordon equations. The existence of unbounded traveling wave solutions and uncountable infinite periodic traveling wave solutions are proved. Under different parametric conditions, various sufficient conditions are given to guarantee the existence of unbounded traveling wave solutions and uncountable infinite periodical traveling wave solutions. All exact explicit formula of system （3） are listed.

关 键 词：孤立行波解 无界行波解波 周期行波解 广义双耦合sinh-cosh-Gordon方程 

分 类 号：O175.2[理学—数学]