Algebras of symmetries of completely integrable dynamical systems

DOI10.1007/BF01056471zbMath0666.58023OpenAlexW2033481017MaRDI QIDQ1116512

B. N. Fil', Valeriy H. Samoylenko

Publication date: 1988

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01056471

zbMATH Keywords

Boussinesq equationLie algebracomplete integrabilitynonlinear evolution equationhereditary symmetry

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional Lie (super)algebras (17B65) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (2)

Justification of the averaging method for multifrequency vibratory systems with impulse interaction ⋮ A bilocal periodic problem for the Sturm-Liouville and Dirac operators and some applications to the theory of nonlinear dynamical systems. I

Cites Work

• Particle spin from representations of the diffeomorphism group
• A simple model of the integrable Hamiltonian equation
• Boussinesq's equation on the circle
• Unnamed Item

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