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Constants and pseudo-constants of the Kadomtsev-Petviashvili equation

By K. M. Case

Abstract

Elucidating earlier work, it is shown that the Kadomtsev-Petviashvili equation has n + 2 constants for all n ≥ 0. It also has a pseudo-constant from which the constants can be obtained by differentiation with respect to time. The pseudo-constant can be obtained from a basis functional J(n)((n+2)) = -1/18 [unk] y(n+2)q by taking repeated Poisson brackets with the Hamiltonian

Topics: Physical Sciences: Applied Mathematical and Physical Sciences
Year: 1985
DOI identifier: 10.1073/pnas.82.16.5242
OAI identifier: oai:pubmedcentral.nih.gov:390543
Provided by: PubMed Central
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