A hierarchy of integrable nonlinear lattice equations and its two integrable coupling systems

被引：2
|
作者：
Ma, Lin-Lin [1 ]
Xu, Xi-Xiang [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266510, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 203卷 / 01期
关键词：
spectral problem; integrable coupling; lax pair; discrete integrable equation; enlarging algebra systems;
D O I：
10.1016/j.amc.2008.04.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Starting from a discrete spectral problem, a hierarchy of integrable lattice soliton equations is derived. It is shown that the hierarchy is integrable in the Liouville sense. A few subalgebras of the Lie algebra are constructed from which the corresponding loop algebras can be presented. It follows that the enlarging algebra systems are introduced. Moreover, we construct the two integrable coupling systems with the help of the enlarging algebra systems. Crown Copyright (c) 2008 Published by Elsevier Inc. All rights reserved.
引用
收藏
页码：7 / 13
页数：7
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