物理学报2012，Vol.61Issue(13)：18-25,8.
构造非线性发展方程无穷序列类孤子精确解的一种方法
A method of constructing infinite sequence soliton-like solutions of nonlinear evolution equations
摘要
Abstract
The auxiliary equation method is used to construct the finite new exact solutions of nonlinear evolution equations. To search for infinite sequence soliton-like exact solutions of nonlinear evolution equations, characteristics of constructivity and mechanization of auxiliary equation method are analyzed and summarized. Therefore, the quasi-B~icklund transformation between new solutions of a kind of auxiliary equation with Riccati equation is presented, then （2＋l）-dimensional modified dispersive water-wave system is taken as an applicable example to find infinite sequence soliton-like new exact solutions by choosing two kinds of formal solutions of nonlinear evolution equations with the help of symbolic computation system Mathematica, where included are the infinite sequence smooth soliton-like solutions, compact soliton solutions and peak stilton-like solutions.关键词
辅助方程/非线性发展方程/Bcklund变换/类孤子新精确解Key words
auxiliary equation/nonlinear evolution equation/Backlund transformation/soliton-like new exact so-lution分类
数理科学引用本文复制引用
套格图桑,白玉梅..构造非线性发展方程无穷序列类孤子精确解的一种方法[J].物理学报,2012,61(13):18-25,8.基金项目
国家自然科学基金资助项目 （）
内蒙古自治区高等学校科学研究基金 （）
内蒙古自治区自然科学基金（批准号：2010MS0111）资助的课题 （）
