An edition of Solitons in Physics, Mathematics, and Nonlinear Optics (1990)

Solitons in Physics, Mathematics, and Nonlinear Optics

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Cover of: Solitons in Physics, Mathematics, and Nonlinear Optics by Peter J. Olver
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An edition of Solitons in Physics, Mathematics, and Nonlinear Optics (1990)

Solitons in Physics, Mathematics, and Nonlinear Optics

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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.

Publish Date
Publisher
Springer New York
Language
English
Pages
215

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Previews available in: English

Subjects
Physics, Solitons, Nonlinear optics, Differential equations, nonlinear

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Cover of: Solitons in Physics, Mathematics, and Nonlinear Optics
Solitons in Physics, Mathematics, and Nonlinear Optics
1990, Springer New York
electronic resource / in English
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Book Details

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.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
New York, NY
Series
The IMA Volumes in Mathematics and Its Applications -- 25, IMA volumes in mathematics and its applications -- 25.

Classifications

Dewey Decimal Class
621.36
Library of Congress
TA1671-1707, TA1501-1820, TA1671-1707TA1501-18, QC685-689.55

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (xiii, 215 pages 37 illustrations).
Number of pages
215

ID Numbers

Open Library
OL27088354M
Internet Archive
solitonsphysicsm00ablo
ISBN 10
1461390354, 1461390338
ISBN 13
9781461390350, 9781461390336
OCLC/WorldCat
852788413

Source records

Internet Archive item record
Better World Books record
Better World Books record

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August 3, 2020 Edited by ImportBot import existing book
July 7, 2019 Created by MARC Bot import new book