Darboux transformations for 5-point and 7-point self-adjoint schemes and an integrable discretization of the 2D Schrödinger operator

DOI10.1016/j.physleta.2004.02.003zbMath1118.81417arXivnlin/0307045OpenAlexW2078115531WikidataQ104434204 ScholiaQ104434204MaRDI QIDQ2383199

Maciej Nieszporski, Adam Doliwa, Paolo Maria Santíni

Publication date: 8 October 2007

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

Full work available at URL: https://arxiv.org/abs/nlin/0307045

zbMATH Keywords

difference equationsDarboux transformationslattice integrable nonlinear \(\sigma \)-models

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Discrete version of topics in analysis (39A12) Finite difference methods for boundary value problems involving PDEs (65N06) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items

Integrable lattices and their sublattices: From the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme, Integrable lattices and their sublattices. II. From the B-quadrilateral lattice to the self-adjoint schemes on the triangular and the honeycomb lattices

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