一类广义Camassa-Holm方程的孤立尖波、孤子类解和周期解  

Peakons,Solitary Patterns and Periodic Solutions for Generalized Camassa-Holm Equations

作　　者：李春海[1] 唐生强[1] 黄文韬[1] 陈爱永[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：《四川师范大学学报（自然科学版）》2009年第5期572-575,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(10871206);广西科学基金(0575092);广西教育厅科学基金(D2008007)资助项目

摘　　要：应用一种新的数学技巧,即基于用积分因子求解常微分方程的方法,研究了一类广义Camassa-Holm方程,求出了该方程的孤立尖波、孤子类和周期行波解,并在不同的参数条件下分别把孤立尖波、孤子类以及周期行波解用显示公式表示出来,得到的解的结构的定性变化条件是明显的.This paper deals with a generalized Camassa-Holm equation by making use of a mathematical technique based on using integral factors for solving ordinary differential equations. The existence of peakons,solitary patterns and periodic travelling wave solutions is obtained. The peakons,solitary patterns and periodic travelling wave solutions are expressed analytically under various circumstances.The conditions which cause the qualitative change in the physical structures of the solutions are clear.

关 键 词：CAMASSA-HOLM方程 孤立尖波 孤子类解 周期解 

分 类 号：O175[理学—数学]