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Solitons in Physics, Mathematics, and Nonlinear Optics

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Cover of 'Solitons in Physics, Mathematics, and Nonlinear Optics'

Table of Contents

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    Book Overview
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    Chapter 1 Nonlinear Evolution Equations, Inverse Scattering and Cellular Automata
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    Chapter 2 Painlevé Equations and the Inverse Scattering and Inverse Monodromy Transforms
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    Chapter 3 Chaotic Behavior in Nonlinear Polarization Dynamics
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    Chapter 4 New Manifestations of Solitons
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    Chapter 5 A Unified Approach to Recursion Operators
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    Chapter 6 Isospectral Flows: Their Hamiltonian Structures, Miura Maps and Master Symmetries
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    Chapter 7 Integrable Nonlinear Evolution Equations in the Description of Waves in the Shallow-Water Long-Wave Approximation
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    Chapter 8 Transient Solitons in Stimulated Raman Scattering
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    Chapter 9 Monodromy Preserving Deformation of Linear Ordinary and Partial Differential Equations
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    Chapter 10 Bäcklund Transformations and the Painlevé Property
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    Chapter 11 Symmetry Groups of Multidimensional Integrable Nonlinear Systems
Attention for Chapter 2: Painlevé Equations and the Inverse Scattering and Inverse Monodromy Transforms
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Chapter title
Painlevé Equations and the Inverse Scattering and Inverse Monodromy Transforms
Chapter number 2
Book title
Solitons in Physics, Mathematics, and Nonlinear Optics
Published in
The IMA Volumes in Mathematics and its Applications, January 1990
DOI 10.1007/978-1-4613-9033-6_2
Book ISBNs
978-1-4613-9035-0, 978-1-4613-9033-6
Authors

Ablowitz, Mark J., Mark J. Ablowitz

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