广义Boussinesq方程孤立尖波解的不存在性  

Nonexistence of Solitary Peakon Solution to a Generalized Boussinesq Equation

作　　者：张本龚[1] 刘正荣[1] 

机构地区：[1]华南理工大学数学科学学院,广东广州510640

出　　处：《华南理工大学学报（自然科学版）》2007年第8期118-122,共5页Journal of South China University of Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10571062)

摘　　要：利用微分方程定性理论和动力系统分支方法,对一类广义Boussinesq方程的孤立尖波解的存在性进行了研究.给出了该方程对应的行波系统的分支相图。In this paper, the qualitative theory of differential equations and the bifurcation method of dynamical systems are used to investigate the existence of the solitary peakon solution to a generalized Boussinesq equation. In the investigation, the bifurcation phase portraits of the corresponding traveling wave system are given, which are then adopted to prove the nonexistence of the solitary peakon solution to the equation.

关 键 词：广义BOUSSINESQ方程 孤立波 尖波解 分支相图 

分 类 号：O175.12[理学—数学]