POISSON-NIJENHUIS STRUCTURES AND SATO HIERARCHY

DOI10.1142/S0129055X91000151zbMath0752.35021MaRDI QIDQ3989625

Franco Magri, Guido Magnano

Publication date: 28 June 1992

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

recursion operatormulti-Hamiltonian structureintegro-differential hierarchysequence of affine Lie-Poisson brackets

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Deformations of general structures on manifolds (58H15) Group structures and generalizations on infinite-dimensional manifolds (58B25) Initial value problems for linear higher-order PDEs (35G10) Integro-differential operators (47G20) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Higher-order parabolic equations (35K25) Equations in function spaces; evolution equations (58D25)

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