This article is cited in 8 papers

A Laplace Ladder of Discrete Laplace Equations

M. Nieszposki

University of Bialystok

Abstract: We present the notion of a Laplace ladder for a discrete analogue of the Laplace equation. We introduce the adjoint of the discrete Moutard equation and a discrete counterpart of the nonlinear representation for the Goursat equation.

Keywords: Laplace ladder, Toda lattice, discrete KP hierarchies.

DOI: 10.4213/tmf399

 English version: Theoretical and Mathematical Physics, 2002, 133:2, 1576–1584

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