Is the classical Bukhvostov-Lipatov model integrable? A Painlevé analysis
Marco Ameduri, Costas J. Efthimiou
Abstract
In this work we apply the Weiss, Tabor and Carnevale integrability criterion (Painlevé analysis) to the classical version of the two dimensional Bukhvostov-Lipatov model. We are led to the conclusion that the model is not integrable classically, except at a trivial point where the theory can be described in terms of two uncoupled sine-Gordon models.
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