Integrable couplings of the (2+1)-dimensional dispersive long wave hierarchy and its Hamiltonian structure

被引：0

作者：

Yue, Chao ^{[1
]}

机构：

[1] Taishan Med Univ, Sch Informat Engn, Tai An 271016, Shandong, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 02期

关键词：

Loop algebra; Yang-Mills equations; The variational identity; Hamiltonian structure; DIMENSIONAL LIE-ALGEBRA; SYSTEMS;

D O I：

10.1016/j.cnsns.2010.04.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A higher loop algebra is constructed, from which the integrable couplings associated with the (2 + 1)-dimensional dispersive long wave hierarchy is obtained with the help of the (2 + 1) zero curvature equation generated from one of reduced equations of the self-dual Yang-Mills equations. Furthermore, the Hamiltonian structure of the integrable couplings is worked out by taking use of the variational identity. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：634 / 640

页数：7