Quasigraded Lie algebras on hyperelliptic curves and classical integrable systems

DOI10.1063/1.1379066zbMath1032.17052OpenAlexW2006788988MaRDI QIDQ2775051

T. V. Skrypnik

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1379066

zbMATH Keywords

integrable Hamiltonian systemsinfinite-dimensional Lie algebras on hyperelliptic curves

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (12)

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Cites Work

• The solution to a generalized Toda lattice and representation theory
• Kowalewski's asymptotic method, Kac-Moody Lie algebras and regularization
• Reduction of Hamiltonian systems, affine Lie algebras and Lax equations
• Integrals of nonlinear equations of evolution and solitary waves

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