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

Advances in Difference Equations

Mensah K Folly-Gbetoula¹  Abdul H Kara¹ 

[1] School of Mathematics, University of the Witwatersrand, Johannesburg, South Africa

关键词: conservation laws;    symmetries;    difference equations;    discrete Liouville equation;    discrete sine-Gordon equation;   

DOI  :  10.1186/1687-1847-2014-224

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY