一类非线性耦合系统的复合型双孤子新解

套格图桑; 伊丽娜

doi:10.7498/aps.63.160201

物理学报

一类非线性耦合系统的复合型双孤子新解

套格图桑, 伊丽娜. 2014: 一类非线性耦合系统的复合型双孤子新解, 物理学报, null(16): 160201. doi: 10.7498/aps.63.160201

引用本文:

套格图桑, 伊丽娜. 2014: 一类非线性耦合系统的复合型双孤子新解, 物理学报, null(16): 160201. doi: 10.7498/aps.63.160201

Taogetusang, Yi Li-Na. 2014: New complexion two-soliton solutions to a kind of nonlinear coupled system, Acta Physica Sinica, null(16): 160201. doi: 10.7498/aps.63.160201

Citation:

Taogetusang, Yi Li-Na. 2014: New complexion two-soliton solutions to a kind of nonlinear coupled system, Acta Physica Sinica, null(16): 160201. doi: 10.7498/aps.63.160201

一类非线性耦合系统的复合型双孤子新解

内蒙古师范大学数学科学学院,呼和浩特,010022

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

摘要: 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。
- 非线性耦合系统 /
- 函数变换 /
- B?cklund变换 /
- 复合型双孤子新解
Abstract: 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 B?cklund transformation of elliptic equation of the first kind.