A Laplace ladder of discrete Laplace equations

Abstract

The notion of a Laplace ladder for a discrete analogue of the Laplace equation is presented. The adjoint of the discrete Moutard equation and a discrete counterpart of the nonlinear form of Goursat equation are introduced.

12 pages, presented on EuroWorkshop "Discrete Systems and Integrability" Cambridge 2001

References in corpus (1)

• The integrable discretization of the Bianchi-Ernst system

Cited by in corpus (3)

• Darboux transformations for 5-point and 7-point self-adjoint schemes and an integrable discretization of the 2D Schrodinger operator
• Desargues maps and their reductions
• Laplace maps and constraints for a class of third order partial differential operators