Integrable vector evolution equations admitting zeroth-order conserved densities

DOI10.1007/s11232-010-0080-9zbMath1297.37031OpenAlexW2072443126MaRDI QIDQ461522

M. Yu. Balakhnev, A. G. Meshkov

Publication date: 13 October 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-010-0080-9

zbMATH Keywords

Bäcklund transformationcanonical densityintegrable evolution equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (1)

On a class of integrable evolution vector equations of 3rd order

Cites Work

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• A class of integrable evolutionary vector equations
• Infinte Lie-Bäcklund algebras
• Evolution equations with nontrivial conservative laws
• Integrable evolution equations on the \(N\)-dimensional sphere
• Vector-matrix generalizations of classical integrable equations
• Classification of integrable divergent \(N\)-component evolution systems
• On a classification of integrable vectorial evolutionary equations
• Necessary conditions of the integrability
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method

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