Construction of Integrals of Higher-Order Mappings
arXiv:nlin/0611020 · doi:10.1143/JPSJ.75.123001
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.
appear to Journal of the Physical Society of Japan