Quantum current Lie algebra as the universal algebraic structure of the symmetries of completely integrable nonlinear dynamical systems of theoretical and mathematical physics

DOI10.1007/BF01017166zbMath0657.35120OpenAlexW2042143064WikidataQ115394628 ScholiaQ115394628MaRDI QIDQ1110739

Anatoliy K. Prykarpatsky, Nikolai N. jun. Bogoliubov

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf01017166

zbMATH Keywords

integrabilitysymmetriesalgebraic structureinvariance groupsnonlinear infinite-dimensional integrable Hamiltonian dynamical systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Infinite-dimensional Lie (super)algebras (17B65) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

On the integrability of a new generalized Gurevich-Zybin dynamical system, its Hunter-Saxton type reduction and related mysterious symmetries

Cites Work

• Particle spin from representations of the diffeomorphism group
• A simple model of the integrable Hamiltonian equation
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