Author(s)

Yili Na, Baojun Dong,   Taogetusang^*

College of Mathematical Science, Inner Mongolia Normal University, Hohhot, China.

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 Schrödinger equation are constructed. First, a kind of function transformation is presented, and then the problem of solving solutions of a kind of coupled Schrödinger 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 Bäcklund transformation and so on of the first kind of elliptic equation, the new infinite sequence composite solutions of a kind of coupled Schrödinger equation are constructed. These solutions are consisting of two-soliton solutions and two-period solutions and so on.

A Kind of Coupled Schrödinger Equation, Function Transformation, Bäcklund Transformation, New Composite Solutions

Na, Y. , Dong, B. and Taogetusang, &. (2015) Some Kinds of New Composite Solutions of a Kind of Coupled Schrödinger Equation. Journal of Applied Mathematics and Physics, 3, 1376-1385. doi: 10.4236/jamp.2015.311165.