The B-quadrilateral lattice, its transformations and the algebro-geometric construction

DOI10.1016/j.geomphys.2006.09.010zbMath1114.37042arXivnlin/0601057OpenAlexW2084593065WikidataQ104434200 ScholiaQ104434200MaRDI QIDQ870992

Adam Doliwa

Publication date: 15 March 2007

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

Full work available at URL: https://arxiv.org/abs/nlin/0601057

zbMATH Keywords

Prym varietiesDarboux transformationsintegrable discrete geometrydiscrete BKP 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) Relationships between algebraic curves and integrable systems (14H70) 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 (8)

Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations ⋮ Applications of the Sylvester equation for the lattice BKP system ⋮ Isothermic surfaces in sphere geometries as Moutard nets ⋮ Spectra of biperiodic planar networks ⋮ Integrable lattices and their sublattices. II. From the B-quadrilateral lattice to the self-adjoint schemes on the triangular and the honeycomb lattices ⋮ The pentagon relation and incidence geometry ⋮ The C-(symmetric) quadrilateral lattice, its transformations and the algebro-geometric construction ⋮ Discrete Darboux system with self-consistent sources and its symmetric reduction

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