Is the classical Bukhvostov-Lipatov model integrable? A Painlevé analysis

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.

References in corpus (2)

• Tunneling in quantum wires I: Exact solution of the spin isotropic case
• Tunneling in quantum wires II: A new line of IR fixed points

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