(2+1)维耗散长波方程的类多孤波解  

Multiple Soliton like Solutions for the (2+1) dimensional Dispersive Long wave Equations

作　　者：张解放[1] 

机构地区：[1]浙江工业大学工程科学研究中心

出　　处：《浙江工业大学学报》1999年第1期77-81,共5页Journal of Zhejiang University of Technology

摘　　要：齐次平衡法给出了一种求非线性演化方程孤波解的有效方法。并把这种方法推广到（２＋１）维非线性演化方程，获得了（２＋１）维耗散长波方程的类多孤波解。单孤波解、多孤波解和指数局域解都可以由本文给出的结果进行构造。The homogeneous balance method is a effective method of finding solitary wave solutions of nonlinear evoluiton equations. In this paper, this method is generalized to (2+1) dimensional case and the multiple soliton like solutions of the (2+1) dimensional dispersive long wave equations are obtained. Single solitary wave solutions, multi solitary wave solutions and exponential localized solitary wave solutions can be constructed from the results.

关 键 词：类孤波解 非线性演化方程 耗散长波方程 

分 类 号：O175.24[理学—数学] O411.1[理学—基础数学]