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

作　　者：孙业朋[1] 徐西祥[1] 杨延珍[1] 

机构地区：[1]山东科技大学基础部,山东泰安271019

出　　处：《河北建筑科技学院学报》2002年第4期83-86,共4页Journal of Hebei Institute of Architectural Science & Technology

摘　　要：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.

关 键 词：达布变换 DARBOUX变换 离散孤子方程 精确解 计算机代数系统Mathematica 非线性微分方程 

分 类 号：O175.29[理学—数学]