(2+1)维色散长波方程的折叠孤立波解(英文)  

Folded solitary wave solutions for (2+1)-dimensional dispersive long wave equations

作　　者：梁金福[1] 

机构地区：[1]毕节职业技术学院基础部,毕节55170

出　　处：《原子与分子物理学报》2010年第5期921-926,共6页Journal of Atomic and Molecular Physics

摘　　要：本文利用一种改进的映射法和线性变量分离法,得到(2+1)-维色散长波方程大量的,带有两个任意函数的精确解.并在得到的一个周期波精确解的基础上,通过选择恰当的函数,可以得到(2+1)-维色散长波方程的折叠孤立波的演化行为.In this paper, with the help of an improved mapping approach and a linear variable separation approach, abundant exact solutions with arbitrary function for the （2 ＋1）-dimensional Dispersive Long Water （DLW） equations are obtained. Based on the derived periodic wave solution, and by selecting appropriate functions, the evolutional behaviors of folded solitary waves are investigated for the （2＋1）-dimensional DLW equations.

关 键 词：扩展的广义Riccati方程映射法 DLW方程 折叠孤立波 

分 类 号：O411.1[理学—理论物理]