Document Type

Journal Article

Department/Unit

Department of Computer Science

Title

Two explicit realizations of a Lie algebra

Language

English

Abstract

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 A2 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. © 2008 Elsevier Ltd. All rights reserved.

Publication Date

2009

Source Publication Title

Chaos, Solitons and Fractals

Volume

41

Issue

5

Start Page

2241

End Page

2245

Publisher

Elsevier

DOI

10.1016/j.chaos.2008.08.030

Link to Publisher's Edition

http://dx.doi.org/10.1016/j.chaos.2008.08.030

ISSN (print)

09600779

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