Construction of Integrals of Higher-Order Mappings

Details Construction of Integrals of Higher-Order Mappings Construction of Integrals of Higher-Order Mappings

2006-11-09

arxiv.org/abs/nlin/0611020v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

appear to Journal of the Physical Society of Japan

Scientific paper

We find that certain higher-order mappings arise as reductions of the
integrable discrete A-type KP (AKP) and B-type KP (BKP) equations. We find
conservation laws for the AKP and BKP equations, then we use these conservation
laws to derive integrals of the associated reduced maps.

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