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

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.

Bibliographic Details
Main Authors:	Decio Levi, Christian Scimiterna
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2011-08-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	quad-graph equations linearizability point transformations Hopf-Cole transformations
Online Access:	http://dx.doi.org/10.3842/SIGMA.2011.079

id	doaj-68b5b51c1d9a44d38fcb98902ff79f2f
record_format	Article
spelling	doaj-68b5b51c1d9a44d38fcb98902ff79f2f2020-11-25T00:12:16ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592011-08-017079Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole TransformationsDecio LeviChristian ScimiternaIn 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.http://dx.doi.org/10.3842/SIGMA.2011.079quad-graph equationslinearizabilitypoint transformationsHopf-Cole transformations
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Decio Levi Christian Scimiterna
spellingShingle	Decio Levi Christian Scimiterna Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations Symmetry, Integrability and Geometry: Methods and Applications quad-graph equations linearizability point transformations Hopf-Cole transformations
author_facet	Decio Levi Christian Scimiterna
author_sort	Decio Levi
title	Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations
title_short	Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations
title_full	Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations
title_fullStr	Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations
title_full_unstemmed	Linearizability of Nonlinear Equations on a Quad-Graph by a Point, Two Points and Generalized Hopf-Cole Transformations
title_sort	linearizability of nonlinear equations on a quad-graph by a point, two points and generalized hopf-cole transformations
publisher	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2011-08-01
description	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.
topic	quad-graph equations linearizability point transformations Hopf-Cole transformations
url	http://dx.doi.org/10.3842/SIGMA.2011.079
work_keys_str_mv	AT deciolevi linearizabilityofnonlinearequationsonaquadgraphbyapointtwopointsandgeneralizedhopfcoletransformations AT christianscimiterna linearizabilityofnonlinearequationsonaquadgraphbyapointtwopointsandgeneralizedhopfcoletransformations
_version_	1725400050354356224

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

Similar Items