一类广义Camassa-Holm型方程的尖峰孤立波和尖峰孤立波解  

Peaked and Periodic Peaked Traveling Wave Solutions for a Generalized Camassa-Holm Type Equation

作　　者：刘松林[1] 沃维丰[1] 

机构地区：[1]宁波大学理学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2014年第3期69-73,共5页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金(11201249)

摘　　要：提出了包含Camassa-Holm方程、修正的Camassa-Holm方程和Degasperis-Procesi方程的一类非线性色散波方程,并利用一类算子的格林函数结合方程的弱形式解,得到了这类方程的单个尖峰孤立波解.In this paper, the nonlinear dispersive equations with type-I, including the Camassa-Holm equation, the modified Camassa-Holm equation and the Degasperis-Procesi equation, are proposed. By using the Green function with type-I operator and combining the weak solution of the equation, the peaked traveling wave solution is obtained for the given nonlinear dispersive equations.

关 键 词：CAMASSA-HOLM方程 修正的Camassa-Holm方程 DEGASPERIS-PROCESI方程 尖峰孤立波解 

分 类 号：O29[理学—应用数学]