The generalized Kupershmidt deformation for the fifth-order coupled KdV equations hierarchy

被引：0

作者：

Yu, Fajun ^{[1
]}

机构：

[1] Shenyang Normal Univ, Coll Maths & Systemat Sci, Shenyang 110034, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 17期

关键词：

Kupershmidt deformation; Fifth-order coupled KdV equation; Soliton hierarchy; PERIODIC-SOLUTIONS; SOLITON-EQUATIONS; INTEGRABILITY; SYSTEM; FLOWS;

D O I：

10.1016/j.amc.2011.01.105

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the Kupershmidt deformation, we propose the generalized Kupershmidt deformation (GKD) to construct new systems from integrable bi-Hamiltonian system. As applications, the generalized Kupershmidt deformation of the fifth-order coupled KdV equations hierarchy with self-consistent sources and its Lax representation are presented. (c) 2011 Elsevier Inc. All rights reserved.

引用

页码：7138 / 7145

页数：8

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