Lax pairs for integrable lattice systems

DOI10.1063/1.532772zbMath0955.37053arXivsolv-int/9809013OpenAlexW2048226331MaRDI QIDQ4701715

Richard Samuel Ward

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/solv-int/9809013

zbMATH Keywords

Toda latticeLax representationintegrable systemHeisenberg ferrogagnet

Mathematics Subject Classification ID

Scattering theory, inverse scattering involving ordinary differential operators (34L25) Lattice dynamics; integrable lattice equations (37K60)

Related Items (3)

Multisoliton solutions of integrable discrete and semi-discrete principal chiral equations ⋮ Darboux transformation for differential–difference principal chiral equation and its continuous limits ⋮ A completeness study on discrete, 2×2 Lax pairs

Cites Work

• Solitons and infinite dimensional Lie algebras
• Discrete Toda field equations
• A constructive test for integrability of semi-discrete systems.
• Relativistic Toda systems
• Complete integrability for a discrete Heisenberg chain
• Nonlinear differential–difference equations and Fourier analysis
• R-matrices and generalized inverses
• A novel hierarchy of integrable lattices
• New integrable systems related to the relativistic Toda lattice

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