修正的Camassa-Holm及Degasperis-Procesi方程的精确解  

Exact solutions for modified forms of Camassa-Holm and Degasperis-Procesi Equations

作　　者：邓朝发[1] 尚亚东[1] 

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2008年第2期22-27,共6页Journal of Guangzhou University:Natural Science Edition

基　　金：广州市属高校科技计划项目(62035)

摘　　要：运用扩展的双曲函数方法,借助计算机代数系统Mathematica or Maple 10,求出了修正的Camassa-Holm及Degasperis-Procesi方程的精确孤子解和精确行波解,其中有一些新的精确孤子解和行波解.这种方法也适用于求解其它非线性波方程.In the paper,with the aid of computer algebraic system Mathematica or Maple 10, the extended hyperbolic function method was used in order to seek for exact soliton solutions and exact travel wave solutions of the modified forms of Camassa-Holm and travel wave solutions equations also Degas are found by means of peris-Procesi Equations, more new exact soliton solutions and exact this method. The method can be used to solve other nonlinear wave equations also.

关 键 词：扩展双曲函数法 Camassa—Holm方程 Degasperls—Procesi方程 精确孤子解 精确行波解 

分 类 号：O175.29[理学—数学]