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

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.

References in corpus (3)

• Recursion operators, conservation laws and integrability conditions for difference equations
• Generalized symmetry integrability test for discrete equations on the square lattice
• On Non-Point Invertible Transformations of Difference and Differential-Difference Equations

Cited by in corpus (5)

• Non-Point Invertible Transformations and Integrability of Partial Difference Equations
• Darboux integrable discrete equations possessing an autonomous first-order integral
• Linear degree growth in lattice equations
• Classification of discrete equations linearizable by point transformation on a square lattice
• Non-Existence of S-Integrable Three-Point Partial Difference Equations in the Lattice Plane