Painleve tests, singularity structure and integrability
Exactly Solvable and Integrable Systems
2008-10-22 v2
Abstract
After a brief introduction to the Painlev\'{e} property for ordinary differential equations, we present a concise review of the various methods of singularity analysis which are commonly referred to as Painlev\'{e} tests. The tests are applied to several different examples, and we discuss the connection between singularity structure and integrability for ordinary and partial differential equations.
Keywords
Cite
@article{arxiv.nlin/0502017,
title = {Painleve tests, singularity structure and integrability},
author = {Andrew N. W. Hone},
journal= {arXiv preprint arXiv:nlin/0502017},
year = {2008}
}
Comments
Final version appears as Chapter 7 in Integrability, A.V. Mikhailov (ed.), Springer (2009)