New lattice equation hierarchies and Darboux transformation

DOI10.1007/s10773-008-9896-6zbMath1181.37098OpenAlexW2002387649MaRDI QIDQ2390840

Ling Li, Huan He Dong

Publication date: 10 August 2009

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-008-9896-6

zbMATH Keywords

Hamiltonian structureDarboux transformationmulti-soliton solutiondiscrete integrable system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (2)

An integrable lattice hierarchy, associated integrable coupling, Darboux transformation and conservation laws ⋮ A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions

Cites Work

• Positive and negative hierarchies of integrable lattice models associated with a Hamiltonian pair
• Integrable theory of the perturbation equations.
• Nonlinear differential−difference equations
• R-matrix approach to lattice integrable systems
• A modified Toda spectral problem and its hierarchy of bi-Hamiltonian lattice equations
• New Matrix Lax Representation for a Blaszak–Marciniak Four-Field Lattice Hierarchy and Its Infinitely Many Conservation Laws
• A trace identity and its applications to the theory of discrete integrable systems

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