广义Camassa-Holm方程的不对称孤立波和不对称扭波的存在性  

Existence of Asymmetric Solitary Waves and Asymmetric Kink Waves of Generalized Camassa-Holm Equation

作　　者：温振庶 黄紫红 WEN Zhenshu;HUANG Zihong(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2023年第2期277-280,共4页Journal of Huaqiao University(Natural Science)

基　　金：国家自然科学基金资助项目(12071162);福建省自然科学基金资助项目(2021J01302);中央高校基本科研业务费专项资金资助(ZQN-802)。

摘　　要：利用动力系统定性理论和分支方法研究广义Camassa-Holm方程的行波.通过关键的分支值得到相应平面系统的相图,从而给出孤立波和扭波存在的充分条件;并且发现得到的孤立波和扭结波是不对称的,这与传统的对称孤立波和对称扭波是不一样的.Traveling waves of the generalized Camassa-Holm equation are studied by exploiting qualitative theory and bifurcation method of dynamical systems, the phase portraits of corresponding planar system are obtained by the key bifurcation values, and sufficient conditions guaranteeing the existence of solitary waves and kink waves are derived. It is found that the derived solitary waves and kink waves are asymmetric, which are different from the traditional symmetric solitary waves and kink waves.

关 键 词：广义CAMASSA-HOLM方程 不对称孤立波 不对称扭波 存在性 

分 类 号：O175.29[理学—数学]