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, Kilkothur M. (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Physics, 495
• Subjects: Mathematical physics.; Fluids.; Mechanics.; Theoretical, Mathematical and Computational Physics.; Fluid- and Aerodynamics.; Classical Mechanics.

The theory of nonlinear systems and, in particular, of integrable systems is related to several very active fields of research in theoretical physics. Many mathematical aspects of nonlinear systems, both continuous and discrete, are analyzed here with particular emphasis on the domains of inverse-sc...

Table of Contents:

• Nonlinear waves, solitons and IST
• Integrability - and how to detect it
• to the Hirota bilinear method
• Lie bialgebras, poisson Lie groups and dressing transformations
• Analytic and asymptotic methods for nonlinear singularity analysis: a review and extensions of tests for the Painlevé property
• Bifurcations, chaos, controlling and synchronization of certain nonlinear oscillators
• Eight lectures on integrable systems
• Bilinear formalism in solition theory
• Quantum and classical integrable systems.