Integrable Systems and Discrete Geometry
arXiv:nlin/0504041 · doi:10.1016/B0-12-512666-2/00178-4
Abstract
This is an expository article for Elsevier's Encyclopedia of Mathematical Physics on the subject in the title. Comments/corrections welcome.
22 pages, 7 figures
References in corpus (5)
- Symmetries of Discrete Systems
- Algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve
- Asymptotic lattices and their integrable reductions I: the Bianchi and the Fubini-Ragazzi lattices
- Geometric discretization of the Bianchi system
- Integrable lattices and their sub-lattices: from the discrete Moutard (discrete Cauchy-Riemann) 4-point equation to the self-adjoint 5-point scheme
Cited by in corpus (7)
- The B-quadrilateral lattice, its transformations and the algebro-geometric construction
- The C-(symmetric) quadrilateral lattice, its transformations and the algebro-geometric construction
- Generalized isothermic lattices
- Integrable dynamics of Toda-type on the square and triangular lattices
- Darboux transformations for linear operators on two dimensional regular lattices
- Hirota equation and the quantum plane
- Geometric algebra and quadrilateral lattices