Document Type

Journal Article

Department/Unit

Department of Computer Science

Abstract

Applying some reduced Lie algebras of Lie symmetry operators of a Lie transformation group, we obtain an invariant of a second-order differential equation which can be generated by a Euler-Lagrange formulism. A corresponding discrete equation approximating it is given as well. Finally, we make use of the Lie algebras to generate some new integrable systems including (1 + 1) and (2 + 1) dimensions.

Publication Year

2016

Journal Title

Advances in Mathematical Physics

Volume number

2016

Publisher

Hindawi Publishing Corporation

First Page (page number)

1

Last Page (page number)

12

Referreed

1

DOI

10.1155/2016/7639013

ISSN (print)

16879120

Link to Publisher’s Edition

http://dx.doi.org/10.1155/2016/7639013

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