Two explicit realizations of a Lie algebra

被引：1

作者：

Zhang, Yufeng ^{[1
]}

Tam, Honwah ^{[2
]}

机构：

[1] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China

[2] Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 41卷 / 05期

基金：

美国国家科学基金会;

关键词：

INTEGRABLE COUPLINGS; HAMILTONIAN-STRUCTURE; CONSERVATION LAWS; HIERARCHY; EQUATION; IDENTITY; SYSTEMS; SOLITON;

D O I：

10.1016/j.chaos.2008.08.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a Lie algebra whose some properties are discussed, including its proper ideals, derivations and so on. Then, we again give rise to its two explicit realizations by adopting subalgebra of the Lie algebra A(2) and a column-vector Lie algebra, respectively. Under the frame of zero curvature equations, we may use the realizations to generate the same Lax integrable hierarchies of evolution equations and their Hamiltonian structure. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2241 / 2245

页数：5

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