http://dx.doi.org/10.1016/j.cnsns.2010.03.004">
 

Document Type

Journal Article

Department/Unit

Department of Computer Science

Title

A few new higher-dimensional Lie algebras and two types of coupling integrable couplings of the AKNS hierarchy and the KN hierarchy

Language

English

Abstract

Four higher-dimensional Lie algebras are introduced. With the help of their different loop algebras and the block matrices of Lax pairs for the zero curvature representations of two given integrable couplings, the two types of coupling integrable couplings of the AKNS hierarchy and the KN hierarchy are worked out, respectively, which fill up the consequences obtained by Ma and Gao (2009) [9]. The coupling integrable couplings of the AKNS hierarchy obtained in the paper again reduce to the coupling integrable couplings of the nonlinear Schrödinger equation and the modified KdV (mKdV) equation, which are different from the resulting results given by Ma and Gao. © 2010 Elsevier B.V.

Keywords

Integrable couplings, Lie algebra, Zero curvature equation

Publication Date

2011

Source Publication Title

Communications in Nonlinear Science and Numerical Simulation

Volume

16

Issue

1

Start Page

76

End Page

85

Publisher

Elsevier

ISSN (print)

10075704

ISSN (electronic)

18787274

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