Special quasigraded Lie algebras and integrable Hamiltonian systems

DOI10.1007/s10440-007-9165-3zbMath1218.37103OpenAlexW2091961449MaRDI QIDQ2464057

T. V. Skrypnik

Publication date: 10 December 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9165-3

zbMATH Keywords

Integrable Hamiltonian systemsQuasigraded Lie algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of Lie algebras and superalgebras to integrable systems (17B80) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (5)

Reduction in soliton hierarchies and special points of classical \(r\)-matrices ⋮ Reductions in finite-dimensional integrable systems and special points of classical r-matrices ⋮ The quasi-AKNS and quasi-\(s o(3)\) type AKNS hierarchies as well as a gallery of simple Lie algebras contained in \(s l(3; \mathbb{C})\) ⋮ Infinite-dimensional Lie algebras, classical r-matrices, and Lax operators: Two approaches ⋮ Quasigraded bases in loop algebras and classical rational r-matrices

Cites Work

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• DEFORMATIONS OF LOOP ALGEBRAS AND CLASSICAL INTEGRABLE SYSTEMS: FINITE-DIMENSIONAL HAMILTONIAN SYSTEMS
• One more kind of the classical Yang-Baxter equation

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