A non autonomous generalization of the $Q_{\text{V}}$ equation

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.

References in corpus (6)

• Algebraic Entropy for lattice equations
• On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations
• Integrability and Symmetries of Difference Equations: the Adler-Bobenko-Suris Case
• Affine linear and D4 symmetric lattice equations : symmetry analysis and reductions
• Symmetries of the Continuous and Discrete Krichever-Novikov Equation
• Algebraic entropy for differential-delay equations

Cited by in corpus (1)

• Classification of five-point differential-difference equations