In this article, we introduce a two-periodic generalization of the QV equation introduced by Viallet. All the equations of Boll's classification appear in it for special choices of the parameters. Using the algebraic entropy test, we infer that the equation should be integrable and with the aid of a formula introduced by Xenitidis we find its three point generalized symmetries.
A two-periodic generalization of the QV equation / G. Gubbiotti, C. Scimiterna, D. Levi. - In: JOURNAL OF INTEGRABLE SYSTEMS. - ISSN 2058-5985. - 2:1(2017), pp. 1-13. [10.1093/integr/xyx004]
A two-periodic generalization of the QV equation
G. Gubbiotti;
2017
Abstract
In this article, we introduce a two-periodic generalization of the QV equation introduced by Viallet. All the equations of Boll's classification appear in it for special choices of the parameters. Using the algebraic entropy test, we infer that the equation should be integrable and with the aid of a formula introduced by Xenitidis we find its three point generalized symmetries.File in questo prodotto:
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