The C-(symmetric) quadrilateral lattice, its transformations and the algebro-geometric construction

DOI10.1016/j.geomphys.2010.01.005zbMath1194.37100arXiv0710.5820OpenAlexW2062498907WikidataQ104434192 ScholiaQ104434192MaRDI QIDQ967473

Adam Doliwa

Publication date: 29 April 2010

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.5820

zbMATH Keywords

finite-gap integrationDarboux transformationsintegrable discrete geometrydiscrete \(C\)-type Kadomtsev-Petviashvili (CKP) equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Additive difference equations (39A10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)

Related Items (6)

Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations ⋮ A lattice CKP equation expressed by the \(\tau\) function ⋮ On the classification of multidimensionally consistent 3D maps ⋮ Spherical geometry and integrable systems ⋮ The pentagon relation and incidence geometry ⋮ Discrete Darboux system with self-consistent sources and its symmetric reduction

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