Canonical and Backlund transformations for discrete integrable systems and classical r-matrix

DOI10.1016/S0375-9601(00)00817-3zbMath0972.37051WikidataQ128109481 ScholiaQ128109481MaRDI QIDQ1595785

A. Roy Chowdhury, Anindya Ghose Choudhury

Publication date: 13 February 2001

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

zbMATH Keywords

similarity transformationspectrality propertyLax operator deformation

Mathematics Subject Classification ID

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

Related Items (7)

Rational formal solutions of hybrid lattice equation ⋮ Nonlinear integrable systems containing the canonical subsystems of distinct physical origins ⋮ Entanglement in quantum integrable and chaotic systems with Markov dynamics ⋮ Extended rational expansion method for differential-difference equation ⋮ \(N\)-fold Darboux transformation and solitonic interactions for a Volterra lattice system ⋮ Canonical explicit Bäcklund transformations with spectrality for constrained flows of soliton hierarchies ⋮ Four-component integrable systems inspired by the Toda and the Davydov-Kyslukha models

Cites Work

• The discrete self-trapping equation
• Bäcklund transformations, the inverse scattering method, solitons, and their applications. NSF research workshop on contact transformations
• On Bäcklund transformations for many-body systems
• Unnamed Item

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