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.
No
English
integrable partial difference equation; quad graph equation; symmetries; algebraic entropy
Settore MAT/07 - Fisica Matematica
Articolo
Esperti anonimi
Ricerca di base
Pubblicazione scientifica
2017
2
1
1
13
13
Pubblicato
Periodico con rilevanza internazionale
scopus
orcid
crossref
wos
Aderisco
info:eu-repo/semantics/article
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]
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Prodotti della ricerca::01 - Articolo su periodico
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262
Article (author)
Periodico senza Impact Factor
G. Gubbiotti, C. Scimiterna, D. Levi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/904356
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