A non autonomous generalization of the Q_V equation

2015/12/01 by Giorgio Gubbiotti, Gubbiotti, Giorgio, Christian Scimiterna +4
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.48550/arxiv.1512.00395

arxiv created 2015/12/01 · openalex publication_date 2015/12/01 · arxiv updated 2015/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce a non autonomous 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.

Citations

• Classification of evolutionary equations on the lattice. I. The general theory
• Algebraic entropy for differential-delay equations

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