一个耦合非线性发展方程的延拓结构

华东师范大学学报(自然科学版) ›› 2012, Vol. 2012 ›› Issue (1): 100-105.

一个耦合非线性发展方程的延拓结构

加羊杰

青海师范大学民族师范学院数学系, 青海西宁 810008

收稿日期:2010-10-01 修回日期:2011-01-01 出版日期:2012-01-25 发布日期:2012-01-26

Prolongation structure of the coupled nonlinear evolution equation

JIA Yang-jie

Department of Mathematics, Nationalities College of Qinghai Normal University, Xining 810008, China

Received:2010-10-01 Revised:2011-01-01 Online:2012-01-25 Published:2012-01-26

摘要/Abstract

摘要： 主要利用延拓结构理论, 对Tsuchida-Wolf耦合KdV方程进行研究, 得到了该方程延拓代数对应的Lax对.

关键词: 耦合KdV方程, 延拓结构, Lax对

Abstract: The coupled KdV equation proposed by is investigated in the framework of prolongation structure theory. Its Lax representation of prolongation algebra is constructed.

Key words: coupled KdV equation, prolongation structure, Lax representation

中图分类号:

O411.1

加羊杰. 一个耦合非线性发展方程的延拓结构[J]. 华东师范大学学报(自然科学版), 2012, 2012(1): 100-105.

JIA Yang-jie. Prolongation structure of the coupled nonlinear evolution equation[J]. Journal of East China Normal University(Natural Sc, 2012, 2012(1): 100-105.

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