Prolongation structures of a generalized coupled Korteweg-de Vries equation and Miura transformation

被引：15

作者：

Cao, Yuan-Hao ^{[2
]}

Wang, Deng-Shan ^{[1
]}

机构：

[1] Cent Univ Finance & Econ, CEMA, Beijing 100081, Peoples R China

[2] Chinese Acad Sci, KLMM, Beijing 100049, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 09期

关键词：

Prolongation structure; Lax pair; KdV equation; Miura transformation; NONLINEAR EVOLUTION-EQUATIONS; KDV SYSTEMS;

D O I：

10.1016/j.cnsns.2009.10.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the prolongation structures of a generalized coupled Korteweg-de Vries (KdV) equation are investigated and two integrable coupled KdV equations associated with their Lax pairs are derived. Furthermore, a Miura transformation related to a integrable coupled KdV equation is derived, from which a new coupled modified KdV equations is obtained. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2344 / 2349

页数：6

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