Decio Levi, Christian Scimiterna, “Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf–Cole Transformations”, SIGMA, 2011, Volume 7,079, 24 pp.

This article is cited in 10 papers

Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf–Cole Transformations

Decio Levi, Christian Scimiterna

Dipartimento di Ingegneria Elettronica, Università degli Studi Roma Tre and Sezione INFN, Roma Tre, Via della Vasca Navale 84, 00146 Roma, Italy

Abstract: In this paper we propose some linearizability tests of partial difference equations on a quad-graph given by one point, two points and generalized Hopf–Cole transformations. We apply the so obtained tests to a set of nontrivial examples.

Keywords: quad-graph equations; linearizability; point transformations; Hopf–Cole transformations.

MSC: 39A14

Received: April 15, 2011; in final form August 11, 2011; Published online August 18, 2011

Language: English

DOI: 10.3842/SIGMA.2011.079