Is the classical Bukhvostov-Lipatov model integrable? A Painlev\'e analysis
solv-int
2015-06-26 v2 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.solv-int/9701021,
title = {Is the classical Bukhvostov-Lipatov model integrable? A Painlev\'e analysis},
author = {Marco Ameduri and Costas J. Efthimiou},
journal= {arXiv preprint arXiv:solv-int/9701021},
year = {2015}
}