Integrability of Nonlinear Systems

• Corporate Author: SpringerLink (Online service)
• Other Authors: Kosmann-Schwarzbach, Yvette (Editor, http://id.loc.gov/vocabulary/relators/edt), Grammaticos, Basil (Editor, http://id.loc.gov/vocabulary/relators/edt), Tamizhmani, K.M (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Physics, 638
• Subjects: Physics.; Differential equations.; Partial differential equations.; Statistical physics.; Dynamical systems.; Mathematical Methods in Physics.; Ordinary Differential Equations.; Partial Differential Equations.; Complex Systems.; Statistical Physics and Dynamical Systems.

The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume w...

Table of Contents:

• Nonlinear Waves, Solitons, and IST (M.J. Ablowitz)
• Integrability - - and How to Detect it (B. Grammaticos, A. Ramani)
• Introduction to the Hirota Bilinear Method (J. Hietarinta)
• Lie Bialgebras, Poisson Lie Groups, and Dressing Transformations (Y. Kosmann-Schwarzbach)
• Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: A Review and Extensions of Tests for the Painlevé Property (M.D. Kruskal, N. Joshi, R. Halburd)
• Eight Lectures on Integrable Systems (F. Magri, P. Casati, G. Falqui, M. Pedroni)
• Bilinear Formalism in Soliton Theory (J. Satsuma)
• Quantum and Classical Integrable Systems ( M.A. Semenov-Tian-Shansky).