The Painlevé Handbook
Publication year: 2008
ISBN: 978-1-4020-8491-1
Internet Resource: Please Login to download book
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 any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painlevé test. If the equation under study passes the Painlevé test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable or even chaotic, but it may still be possible to find solutions.
Subject: Physics and Astronomy, Canopus, Nevanlinna theory, Painlevé test, Schrödinger equation, Signal, Soliton, algorithm, closed form solutions, differential equation, discrete nonlinear systems, model, operator, ordinary differential equation, partial differential equation, transfor, ordinary differential equations, partial differential equations, Mathematical Methods in Physics, Dynamical Systems and Ergodic Theory, Ordinary Differential Equations, Partial Differential Equations, Mathematical and Computational Engineering
