Toda–Heisenberg Chain: Interacting σ-Fields in Two Dimensions

DOI10.1142/S1402925111001702zbMath1225.37067arXiv1108.5937OpenAlexW3104230645MaRDI QIDQ3095760

Vadim E. Vekslerchik, G. M. Pritula

Publication date: 3 November 2011

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

Full work available at URL: https://arxiv.org/abs/1108.5937

zbMATH Keywords

Ablowitz-Ladik hierarchyrelativistic Toda chainRuijsenaars-Toda latticedark-soliton solutionsinteracting sigma-fieldsToda-Heisenberg chain

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) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• Some algebraic structures connected with the Yang-Baxter equation
• Laplace transformations of hydrodynamic-type systems in Riemann invariants
• To a transformation theory of two-dimensional integrable systems
• Lattice representation and dark solitons of the Fokas–Lenells equation
• Discrete nonlinear Schrodinger equation under nonvanishing boundary conditions
• Nonlinear differential−difference equations
• Functional Representation of the AblowitzLadik Hierarchy. II
• KdV–Volterra chain

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