Lax operator algebras and integrable hierarchies

DOI10.1134/S0081543808040159zbMath1235.37022MaRDI QIDQ735635

Oleg K. Sheinman

Publication date: 23 October 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

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 algebraic geometry, complex analysis, and special functions (37K20) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Cites Work

• Lax operator algebras
• Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
• The arithmetic theory of loop groups
• Equations of long waves with a free surface. II: Hamiltonian structure and higher equations
• Vector bundles and Lax equations on algebraic curves
• Central extensions of Lax operator algebras
• Local cocycles and central extensions for multipoint algebras of Krichever-Novikov type
• Euclidean Lie Algebras
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