Non-local Poisson structures and applications to the theory of integrable systems

DOI10.1007/s11537-013-1306-zzbMath1286.37062arXiv1302.0148OpenAlexW3104222869MaRDI QIDQ377671

Victor G. Kac, Alberto De Sole

Publication date: 6 November 2013

Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0148

zbMATH Keywords

bi-Hamiltonian integrable hirarchiesLenard-Magri sheme of integrabilitynon-local Poisson structurenon-local Poisson vertex algebrarational matrix pseudo-differential operators

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Vertex operators; vertex operator algebras and related structures (17B69) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Poisson algebras (17B63)

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