The Painlevé handbook

Description:

"This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without many a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painleve test. If the equation under study passes the Painleve test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable of even chaotic, but it may still be possible to find solutions. Written at a graduate level, the book contains tutorial texts as well as detailed examples and the state of the art in some current research."--Jacket.

subjects: Mathematical physics,  Painlevé equations,  Equations,  Physics,  Chemistry,  Mathematics,  Differentiable dynamical systems,  Differential Equations,  Differential equations, partial,  Engineering mathematics,  Mathematical Methods in Physics,  Dynamical Systems and Ergodic Theory,  Ordinary Differential Equations,  Partial Differential Equations,  Appl.Mathematics/Computational Methods of Engineering,  Math. Applications in Chemistry