Integrable evolution systems of geometric type

DOI10.1134/S0040577920030149zbMath1450.37062OpenAlexW3015720980MaRDI QIDQ2193704

Vladimir Sokolov

Publication date: 20 August 2020

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

Full work available at URL: https://doi.org/10.1134/s0040577920030149

zbMATH Keywords

symmetryintegrable systemaffine connected space

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Cites Work

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• Smooth quasigroups and geometry
• Hyperbolic equations with third-order symmetries
• Prime Jordan triple systems. III
• Jordan algebras and generalized Korteweg-de Vries equations
• Deformations of triple-Jordan systems and integrable equations
• Integrable evolution equations on the \(N\)-dimensional sphere
• Classification of integrable vector equations of geometric type
• Symmetries of Differential Equations and the Problem of Integrability

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