Lax–Nijenhuis operators for integrable systems

DOI10.1063/1.531771zbMath0862.58034OpenAlexW2052890462MaRDI QIDQ5284684

Yvette Kosmann-Schwarzbach, Franco Magri

Publication date: 25 May 1997

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

Full work available at URL: https://doi.org/10.1063/1.531771

zbMATH Keywords

dynamical systemsKdV hierarchybi-Hamiltonian formulationsAdler-Gelfand-Dickey structureLax-Nijenhuis equationLenard recursion relations

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) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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Cites Work

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• Integrals of nonlinear equations of evolution and solitary waves

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