Solitons in Physics, Mathematics, and Nonlinear Optics /

This volume includes some of the lectures given at two workshops, "Solitons in Physics and Mathematics" and "Solitons in Nonlinear Optics and Plasma Physics" held during the 1988-89 IMA year on Nonlinear Waves. Since their discovery by Kruskal and Zabusky in the early 1960's...

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Bibliographic Details
Main Author: Olver, Peter J.
Corporate Author: SpringerLink (Online service)
Other Authors: Sattinger, David H.
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1990.
Series:IMA volumes in mathematics and its applications ; 25.
Subjects:
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Foreword
  • Preface
  • Nonlinear Evolution Equations, Inverse Scattering and Cellular Automata
  • Painlevé Equations and the Inverse Scattering and Inverse Monodromy Transforms
  • Chaotic Behavior in Nonlinear Polarization Dynamics
  • New Manifestations of Solitons
  • A Unified Approach to Recursion Operators
  • Isospectral Flows: Their Hamiltionian Structures, Miura Maps and Master Symmetries
  • Integrable Nonlinear Evolution Equation in the Description of Waves in the Shallow-Water Long-Wave Approximation
  • Transient Solitons in Stimulated Raman Scattering
  • Monodromy Preserving Deformation of Linear Ordinary and Partial Differential Equations
  • Bäcklund Transformations and the Painlevé Property
  • Symmetry Groups of Multidimensional Integrable Nonlinear Systems.