Direct and Inverse Methods in Nonlinear Evolution Equations Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 5-12, 1999 /

• Main Authors: Conte, Robert M. (Author, http://id.loc.gov/vocabulary/relators/aut), Magri, Franco (http://id.loc.gov/vocabulary/relators/aut), Musette, Micheline (http://id.loc.gov/vocabulary/relators/aut), Satsuma, Junkichi (http://id.loc.gov/vocabulary/relators/aut), Winternitz, Pavel (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Greco, Antonio Maria (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Physics, 632
• Subjects: Physics.; Partial differential equations.; Differential geometry.; Statistical physics.; Dynamical systems.; Mathematical Methods in Physics.; Partial Differential Equations.; Differential Geometry.; Complex Systems.; Statistical Physics and Dynamical Systems.

Many physical phenomena are described by nonlinear evolution equation. Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations. The direct method to build solu...

Table of Contents:

• Exact Solutions of Nonlinear Partial Differential Equations by Singularity Analysis
• The Method of Poisson Pairs in the Theory of Nonlinear PDEs
• Nonlinear Superposition Formulae of Integrable Partial Differential Equations by the Singular Manifold Method
• Hirota Bilinear Method for Nonlinear Evolution Equations
• Lie Groups, Singularities and Solutions of Nonlinear Partial Differential Equations.