一类非线性耦合系统的复合型双孤子新解

New complexion two-soliton solutions to a kind of nonlinear coupled system

首先给出一种函数变换,把一类非线性耦合系统化为两个第一种椭圆方程组.然后利用第一种椭圆方程的新解与B?cklund变换,构造了一类非线性耦合系统的无穷序列复合型双孤子新解.

A function transformation is presented to change a kind of nonlinear coupled system into a set of two elliptic equations of the first kind. Then new infinite sequence complexion two-soliton solutions to a kind of nonlinear coupled system are constructed by new solutions and Backlund transformation of elliptic equation of the first kind.