Integrable deformation of the Toda chain and quasigraded Lie algebras

DOI10.1088/0305-4470/38/44/004zbMath1109.37051OpenAlexW1990933449MaRDI QIDQ3374189

T. V. Skrypnik

Publication date: 9 March 2006

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

Full work available at URL: https://doi.org/10.1088/0305-4470/38/44/004

zbMATH Keywords

Lax pairsdeformed Lax equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12) 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 (3)

Anisotropic Z n-graded classical r-matrix, deformed A n Toda- and Gaudin-type models, and separation of variables ⋮ Reductions in finite-dimensional integrable systems and special points of classical r-matrices ⋮ Quasigraded bases in loop algebras and classical rational r-matrices

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