Hamiltonian structure of Kadomtsev-Petviashvili type equations

DOI10.1007/BF02107241zbMath0581.58024MaRDI QIDQ1067672

A. G. Reyman, Michaael A. Semenov-Tian-Shansky

Publication date: 1985

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemKadomtsev-Petviashvili equationAdler-Kostant's schema

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

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• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• ON TWO CONSTRUCTIONS OF CONSERVATION LAWS FOR LAX EQUATIONS