On the gauge equivalent structure of the discrete nonlinear Schrödinger equation

DOI10.1016/S0375-9601(00)00027-XzbMath0949.37048OpenAlexW2003620665MaRDI QIDQ1569530

Qing Ding

Publication date: 3 July 2000

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00027-x

zbMATH Keywords

Lax pairsdiscrete nonlinear Schrödinger equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

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Cites Work

• A Darboux-Bäcklund transformation associated with a discrete nonlinear Schrödinger equation
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• A note on the NLS and the Schrödinger flow of maps
• On soliton creation in the nonlinear Schrodinger models: discrete and continuous versions
• Discrete nonlinear Schrodinger equation under nonvanishing boundary conditions
• On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schrödinger equations
• Randomly modulated dark soliton
• The gauge equivalence of the NLS and the Schrödinger flow of maps in 2 + 1 dimensions

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