Symmetries, conservation laws, and ‘integrability’ of difference equations

Mensah K. Folly-Gbetoula; Abdul H. Kara

doi:10.1186/1687-1847-2014-224

Symmetries, conservation laws, and ‘integrability’ of difference equations

Mensah K. Folly-Gbetoula
, Abdul H. Kara^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

A number of nontrivial conservation laws of some difference equations, viz., the discrete Liouville equation and the discrete sine-Gordon equation, are constructed using first principles. Symmetries and the more recent ideas and notions of characteristics (multipliers) for difference equations are also discussed.

Original language	English
Article number	224
Journal	Advances in Difference Equations
Volume	2014
Issue number	1
DOIs	https://doi.org/10.1186/1687-1847-2014-224
State	Published - 25 Dec 2014

Bibliographical note

Publisher Copyright:
© 2014, Folly-Gbetoula and Kara; licensee Springer.

Keywords

conservation laws
difference equations
discrete Liouville equation
discrete sine-Gordon equation
symmetries

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

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10.1186/1687-1847-2014-224

Cite this

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title = "Symmetries, conservation laws, and {\textquoteleft}integrability{\textquoteright} of difference equations",

abstract = "A number of nontrivial conservation laws of some difference equations, viz., the discrete Liouville equation and the discrete sine-Gordon equation, are constructed using first principles. Symmetries and the more recent ideas and notions of characteristics (multipliers) for difference equations are also discussed.",

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KW - conservation laws

KW - difference equations

KW - discrete Liouville equation

KW - discrete sine-Gordon equation

KW - symmetries

UR - https://www.scopus.com/pages/publications/84934986556

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DO - 10.1186/1687-1847-2014-224

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Symmetries, conservation laws, and ‘integrability’ of difference equations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this