In this paper we construct the autonomous quad-equations which admit as symmetries the five-point differential-difference equations belonging to known lists found by Garifullin, Yamilov and Levi. The obtained equations are classified up to autonomous point transformations and some simple non-autonomous transformations. We discuss our results in the framework of the known literature. There are among them a few new examples of both sine-Gordon and Liouville type equations.
Garifullin, R.N., Gubbiotti, G., Yamilov, R.I. (2019). Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 26(3), 333-357 [10.1080/14029251.2019.1613050].
Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations
Gubbiotti G.
;Yamilov R. I.
2019-01-01
Abstract
In this paper we construct the autonomous quad-equations which admit as symmetries the five-point differential-difference equations belonging to known lists found by Garifullin, Yamilov and Levi. The obtained equations are classified up to autonomous point transformations and some simple non-autonomous transformations. We discuss our results in the framework of the known literature. There are among them a few new examples of both sine-Gordon and Liouville type equations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
