一类新离散孤子方程的达布变换与精确解

Darboux transformation and explicit solutions of a Hierarchy of new discrete soliton equations

基于一个新的离散等谱问题 ,利用规范变换与Darboux矩阵方法 ,为一族新的离散孤子方程建立了一个达布变换。作为应用 ,获得了离散孤子方程的精确解 。

Based on a new discrete isospectral problem ,A Darboux transformation for a hierarchy of new discrete soliton equations is found by using a gauge transformation and Darboux matrix method . As an application, A new exact solution for the discrete soliton equation is obtained. Moreover, The plots of the solution are given with the help of mathematics.