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Is the classical Bukhvostov-Lipatov model integrable? A Painlev\'e analysis

Authors
  • Ameduri, Marco
  • Efthimiou, Costas J.
Type
Published Article
Publication Date
Mar 31, 1998
Submission Date
Jan 29, 1997
Identifiers
DOI: 10.2991/jnmp.1998.5.2.4
arXiv ID: solv-int/9701021
Source
arXiv
License
Unknown
External links

Abstract

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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