Classification of integrable discrete Klein-Gordon models

Abstract

The Lie algebraic integrability test is applied to the problem of classification of integrable Klein-Gordon type equations on quad-graphs. The list of equations passing the test is presented containing several well-known integrable models. A new integrable example is found, its higher symmetry is presented.

12 pages, submitted to Physica Scripta

References in corpus (6)

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• Integrability and Symmetries of Difference Equations: the Adler-Bobenko-Suris Case
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Cited by in corpus (4)

• Generalized symmetry integrability test for discrete equations on the square lattice
• On a discrete analog of the Tzitzeica equation
• Characteristic Lie rings, finitely-generated modules and integrability conditions for 2+1 dimensional lattices
• Method for searching higher symmetries for quad graph equations