DARBOUX TRANSFORMATION OF A NONLINEAR EVOLUTION EQUATION AND ITS EXPLICIT SOLUTIONS

被引：0
|
作者：
李文敏
韩有攀
周高军
机构：
[1] College of Sciences, the Northwest Sci-Tech University of Agriculture and Forestry
[2] College of Sciences, Xi’an Jiaotong University
[3] Department of Mathematics, Henan College of Education
来源：
Acta Mathematica Scientia | 2011年 / 31卷 / 04期
关键词：
Darboux transformation; solitons; explicit solution; Lax-pair; differentialdifference equation;
D O I：
暂无
中图分类号：
O175.7 [差分微分方程];
学科分类号：
摘要：
In this paper, we study a differential-difference equation associated with discrete 3 × 3 matrix spectral problem. Based on gauge transformation of the spectral problm, Darboux transformation of the differential-difference equation is given. In order to solve the differential-difference equation, a systematic algebraic algorithm is given. As an application, explicit soliton solutions of the differential-difference equation are given.
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页码：1457 / 1464
页数：8
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