Integrability conditions for nonautonomous quad-graph equations

Details Integrability conditions for nonautonomous quad-graph equations Integrability conditions for nonautonomous quad-graph equations

2006-11-09

arxiv.org/abs/nlin/0611019v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages

Scientific paper

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.

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