Method for searching higher symmetries for quad graph equations

Abstract

Generalized symmetry integrability test for discrete equations on the square lattice is studied. Integrability conditions are discussed. A method for searching higher symmetries (including non-autonomous ones) for quad graph equations is suggested based on characteristic vector fields.

16 pages, submitted to JPA

References in corpus (3)

• Generalized symmetry integrability test for discrete equations on the square lattice
• On the Classification of Darboux Integrable Chains
• Classification of integrable discrete Klein-Gordon models

Cited by in corpus (11)

• On the integrability of a new lattice equation found by multiple scale analysis
• Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time
• On discrete integrable equations of higher order
• Peculiar symmetry structure of some known discrete nonautonomous equations
• Generalized symmetries and integrability conditions for hyperbolic type semi-discrete equations
• An unusual series of autonomous discrete integrable equations on the square lattice
• On the inverse problem of the discrete calculus of variations
• 3D-consistency of negative flows
• Asymptotic diagonalization of the Discrete Lax pair around singularities and conservation laws for dynamical systems
• Darboux integrable discrete equations possessing an autonomous first-order integral
• Reconstructing a Lattice Equation: a Non-Autonomous Approach to the Hietarinta Equation