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This article is cited in 10 scientific papers (total 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.
Received: April 15, 2011; in final form August 11, 2011; Published online August 18, 2011
Citation:
Decio Levi, Christian Scimiterna, “Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf–Cole Transformations”, SIGMA, 7 (2011), 079, 24 pp.
Linking options:
https://www.mathnet.ru/eng/sigma637 https://www.mathnet.ru/eng/sigma/v7/p79
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