Classical \(r\)-matrix structures of integrable mappings related to the Volterra lattice

DOI10.1016/S0375-9601(00)00246-2zbMath1115.37352OpenAlexW2060547628MaRDI QIDQ997858

Ruguang Zhou, Wen-Xiu Ma

Publication date: 8 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00246-2

zbMATH Keywords

Lax representation\(r\)-matrixnonlinearization of Lax pairVolterra lattice

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) Exactly solvable models; Bethe ansatz (82B23) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

Integrable deformations of integrable symplectic maps ⋮ \(N\)-fold Darboux transformation and solitonic interactions for a Volterra lattice system ⋮ INTEGRABILITY AND SUPERINTEGRABILITY OF TODA SYMPLECTIC MAP WITH MULTIPLE EIGENPARAMETERS ⋮ Factorization of a hierarchy of the lattice soliton equations from a binary Bargmann symmetry constraint ⋮ A family of integrable differential-difference equations and its Bargmann symmetry constraint ⋮ New Lax pairs of the Toda lattice and the nonlinearization under a higher-order Bargmann constraint

Cites Work

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