The Painlevé methods

Abstract

This short review is an introduction to a great variety of methods, the collection of which is called the Painlevé analysis, intended at producing all kinds of exact (as opposed to perturbative) results on nonlinear equations, whether ordinary, partial, or discrete.

LaTex 2e, subject index, Nonlinear integrable systems: classical and quantum, ed. A. Kundu, Special issue, Proceedings of Indian Science Academy, A