Integrability conditions for nonautonomous quad-graph equations
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
This paper presents a systematic investigation of the integrability conditions for nonautonomous quad-graph maps, using the Lax pair approach, the ultra-local singularity confinement criterion and direct construction of conservation laws. We show that the integrability conditions derived from each of the methods are the one and the same, suggesting that there exists a deep connection between these techniques for partial difference equations.
Keywords
Cite
@article{arxiv.nlin/0611019,
title = {Integrability conditions for nonautonomous quad-graph equations},
author = {R. Sahadevan and O. G. Rasin and P. E. Hydon},
journal= {arXiv preprint arXiv:nlin/0611019},
year = {2007}
}
Comments
17 pages