Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations
Articolo
Data di Pubblicazione:
2019
Citazione:
Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations / R.N. Garifullin, G. Gubbiotti, R.I. Yamilov. - In: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. - ISSN 1402-9251. - 26:3(2019), pp. 333-357. [10.1080/14029251.2019.1613050]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Generalized symmetries; Integrability; Quad-equations
Elenco autori:
R.N. Garifullin, G. Gubbiotti, R.I. Yamilov
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