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

article

Decio Levi¹  Christian Scimiterna² 

[1] Dipartimento di Ingegneria Elettronica, Università degli Studi Roma Tre and Sezione INFN;Dipartimento di Fisica, Dipartimento di Ingegneria Elettronica, Università degli Studi Roma Tre and Sezione INFN

关键词: quad-graph equations;    linearizability;    point transformations;    Hopf–Cole transformations;   

DOI  :  10.3842/SIGMA.2011.079

来源: National Academy of Science of Ukraine

【 摘 要 】

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.

【 授权许可】

Unknown