Theory of group representations and integration of nonlinear dynamical systems

DOI10.1007/BF01037979zbMath0536.58014MaRDI QIDQ791947

V. G. Smirnov, A. N. Leznov, Mikhail V. Saveliev

Publication date: 1982

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

zbMATH Keywords

graded Lie algebrasToda latticenonlinear two-dimensional dynamical systemsrepresentation of Lax type

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) Applications of Lie groups to the sciences; explicit representations (22E70) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Geometric quantization (53D50)

Related Items

Nonlinear equations and graded Lie algebras, Generalizations of the finite nonperiodic Toda lattice and its Darboux transformation, Lie algebras of slow growth and Klein-Gordon PDE, Lie algebras and equations of Korteweg-de Vries type

Cites Work

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• Lie algebras associated with generalized Cartan matrices