Solitons in Physics, Mathematics, and Nonlinear Optics
By: edited by Peter J. Olver, David H. Sattinger
Contributors: Sattinger, David H.
Series: The IMA Volumes in Mathematics and Its Applications -- 25; IMA volumes in mathematics and its applications -- 25.
Publisher: Springer New York
Published: 1990
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 215
ISBN-13: 9781461390350; 9781461390336
Subjects: Physics
Description: 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, solitons have had a profound impact on many fields, ranging from engineering and physics to algebraic geometry. The present contributions represent only a fraction of these areas, but give the reader a good overview of several current research directions, including optics, fluid dynamics, inverse scattering, cellular automata, Bäcklund equations, symmetries and Hamiltonian systems.
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Table of contents: title: Foreword; title: Preface; title: Nonlinear Evolution Equations, Inverse Scattering and Cellular Automata; title: Painlevé Equations and the Inverse Scattering and Inverse Monodromy Transforms; title: Chaotic Behavior in Nonlinear Polarization Dynamics; title: New Manifestations of Solitons; title: A Unified Approach to Recursion Operators; title: Isospectral Flows: Their Hamiltionian Structures, Miura Maps and Master Symmetries; title: Integrable Nonlinear Evolution Equation in the Description of Waves in the Shallow-Water Long-Wave Approximation; title: Transient Solitons in Stimulated Raman Scattering; title: Monodromy Preserving Deformation of Linear Ordinary and Partial Differential Equations; title: Bäcklund Transformations and the Painlevé Property; title: Symmetry Groups of Multidimensional Integrable Nonlinear Systems.