A generalization of the Lax equation

DOI10.1016/S0393-0440(00)00065-6zbMath1001.37065MaRDI QIDQ5943186

Maria Przybylska

Publication date: 29 October 2001

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

integrabilityHamiltonian systemsPoisson bracketsLax equationSklyanin brackets

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) Applications of Lie groups to the sciences; explicit representations (22E70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Initial value problems for higher-order parabolic equations (35K30)

Related Items (2)

Additive generalizations of the Lax equation ⋮ On matrix differential equations and abstract FG algorithm

Cites Work

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• On the Toda Lattice. II: Inverse-Scattering Solution
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• Integrals of nonlinear equations of evolution and solitary waves
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