Nonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a

This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlev�

New to the Second Edition More than 1,000 pages with over 1,500 new first-, second-, third-, fourth-, and higher-order nonlinear equations with solutions Parabo

There are a number of intriguing connections between Painlev equations and orthogonal polynomials, and this book is one of the first to provide an introduction

The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this