Classification of integrable discrete Klein-Gordon models

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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12 pages, submitted to Physica Scripta

Scientific paper

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.

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