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Construction of Integrals of Higher-Order Mappings

Ken-ichi Maruno·G. R. W. Quispel
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Abstract

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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Ken-ichi Maruno, G. R. W. Quispel. 2006-11-09. Construction of Integrals of Higher-Order Mappings. https://doi.org/10.1143/jpsj.75.123001

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