Some Kinds of New Composite Solutions of a Kind of Coupled Schrodinger Equation

作     者：Yili Na Baojun Dong Taogetusang 

作者机构：College of Mathematical ScienceInner Mongolia Normal UniversityHohhotChina 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2015年第3卷第11期

页      面：1376-1385页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the Natural Natural Science Foundation of China(Grant No.11361040) the Science Research Foundation of Institution of Higher Education of Inner Mongolia Autonomous Region,China(Grant No.NJZY12031) the Natural Science Foundation of Inner Mongolia Autonomous Region,China(Grant No.2015MS0128) 

主　　题：A Kind of Coupled Schrodinger Equation Function Transformation Backlund Transformation New Composite Solutions 

摘      要：With the help of the method that combines the first kind of elliptic equation with the function transformation, some kinds of new composite solutions of a kind of coupled Schr?dinger equation are constructed. First, a kind of function transformation is presented, and then the problem of solving solutions of a kind of coupled Schr?dinger equation can be changed to the problem of solving solutions of the first kind of elliptic equation. Then, with the help of the conclusions of the B?cklund transformation and so on of the first kind of elliptic equation, the new infinite sequence composite solutions of a kind of coupled Schr?dinger equation are constructed. These solutions are consisting of two-soliton solutions and two-period solutions and so on.