Hierarchies of integrable equations associated with hyperelliptic Lie algebras

DOI10.1088/0305-4470/34/49/326zbMath1001.37075OpenAlexW1993125603MaRDI QIDQ2773147

P. I. Holod, T. V. Skrypnik

Publication date: 20 February 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/49/326

zbMATH Keywords

multiparametric deformationHamiltonian flowszero-curvature equationsgeneralized Heisenberg magnet equationshierarchies of integrable Hamiltonian equationshyperelliptic Lie algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Geometric theory, characteristics, transformations in context of PDEs (35A30)

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Infinite-dimensional prolongation Lie algebras and multicomponent Landau-Lifshitz systems associated with higher genus curves ⋮ Deformations of loop algebras and integrable systems: hierarchies of integrable equations

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