广义Camassa-Holm方程的显式孤立子解  

Explicit Soliton Solutions of Generalized Camassa-Holm Equation

作　　者：刘正荣[1] 杨喜艳[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：《云南民族大学学报（自然科学版）》2007年第2期89-94,共6页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：国家自然科学基金资助项目(10571062)

摘　　要：研究广义Camassa-Holm方程的显式孤立子解,在研究中,首先建立一个与该方程相对应的平面系统,然后画出平面系统的分支相图,最后,通过相图中某些特殊的同宿轨道获得显式孤立子解.In this paper, explicit soliton solutions of generalized Camassa-Holm equation is studied. First, a planar system corresponding to the generalized Camassa-Hohm equation is established. Secondly, the bifurcation phase portraits of the planar system are given. Finally, via some special homoclinic orbits, the explicit soliton solutions are obtained.

关 键 词：显式孤立子解 分支相图 广义Camassa—Holm方程 

分 类 号：O175.12[理学—数学]