Boundary Lax pairs from non-ultra-local Poisson algebras

DOI10.1063/1.3257915zbMath1304.37042arXiv0905.4134OpenAlexW3106221359MaRDI QIDQ3583710

Anastasia Doikou, Jean Avan

Publication date: 17 August 2010

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

Full work available at URL: https://arxiv.org/abs/0905.4134

zbMATH Keywords

quantum theorymatrix algebraLie algebrasboundary-value problems

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)

Related Items (5)

On extended graded Poisson algebras ⋮ Generalized Landau-Lifshitz models on the interval ⋮ Non-commutative Poisson Algebras Admitting a Multiplicative Basis ⋮ Strongly Split Poisson Algebras ⋮ On split Malcev Poisson algebras

Cites Work

• Boundary Lax pairs for the \(A_n^{(1)}\) Toda field theories
• What is a classical r-matrix?
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Integrable boundary conditions and modified Lax equations
• On reflection algebras and twisted Yangians
• Introduction to Classical Integrable Systems
• Boundary conditions for integrable quantum systems
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
• Integrals of nonlinear equations of evolution and solitary waves

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