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

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

1997-01-29

arxiv.org/abs/solv-int/9701021v2

J. Nonlinear Math. Phys. 5 (1998), no. 2, 132-139

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

In this work we apply the Weiss, Tabor and Carnevale integrability criterion
(Painlev\'e 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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