Infinite Sequence Soliton-Like Exact Solutions of (2 + 1)-Dimensional Breaking Soliton Equation

作     者：Taogetusang Sirendaoerji 李姝敏 

作者机构：College of Mathematical ScienceInner Mongolia Normal University College of Mathematical ScienceBao Tou Teachers' College 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2011年第55卷第6期

页      面：949-954页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the Natural Natural Science Foundation of China under Grant No.10461006 the Science Research Foundation of Institution of Higher Education of Inner Mongolia Autonomous Region,China under Grant No.NJZZ07031 the Natural Science Foundation of Inner Mongolia Autonomous Region,China under Grant No.2010MS0111 

主　　题：the second kind of elliptic equation Backlund transformation nonlinear evolution equation infi-nite sequence soliton-like exact solution 

摘      要：To seek new infinite sequence soliton-like exact solutions to nonlinear evolution equations （NEE（s））, by developing two characteristics of construction and mechanization on auxiliary equation method, the second kind of elliptie equation is highly studied and new type solutions and Backlund transformation are obtained. Then （2＋ l ）-dimensional breaking soliton equation is chosen as an example and its infinite sequence soliton-like exact solutions are constructed with the help of symbolic computation system Mathematica, which include infinite sequence smooth soliton-like solutions of Jacobi elliptic type, infinite sequence compact soliton solutions of Jacobi elliptic type and infinite sequence peak soliton solutions of exponential function type and triangular function type.