Recent Developments in Integrable Systems and Related Topics of Mathematical Physics
Kezenoi-Am, Russia, 2016
Editors: Buchstaber, Victor M., Konstantinou-Rizos, Sotiris, Mikhailov, Alexander V. (Eds.)
Free Preview- Provides the reader with recent developments in Integrable Systems
- Elucidates relationships between previously unrelated areas in Mathematics and Mathematical Physics
- Includes methods from algebraic geometry and Lie theory to partial differential equations and theoretical physics
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- About this book
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This volume, whose contributors include leading researchers in their field, covers a wide range of topics surrounding Integrable Systems, from theoretical developments to applications. Comprising a unique collection of research articles and surveys, the book aims to serve as a bridge between the various areas of Mathematics related to Integrable Systems and Mathematical Physics.
Recommended for postgraduate students and early career researchers who aim to acquire knowledge in this area in preparation for further research, this book is also suitable for established researchers aiming to get up to speed with recent developments in the area, and may very well be used as a guide for further study.
- Table of contents (11 chapters)
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Introduction
Pages 1-2
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Numerical Instability of the Akhmediev Breather and a Finite-Gap Model of It
Pages 3-23
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Movable Poles of Painlevé I Transcendents and Singularities of Monodromy Data Manifolds
Pages 24-37
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Elliptic Calogero-Moser Hamiltonians and Compatible Poisson Brackets
Pages 38-46
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Bäcklund Transformations and New Integrable Systems on the Plane
Pages 47-74
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Table of contents (11 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Recent Developments in Integrable Systems and Related Topics of Mathematical Physics
- Book Subtitle
- Kezenoi-Am, Russia, 2016
- Editors
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- Victor M. Buchstaber
- Sotiris Konstantinou-Rizos
- Alexander V. Mikhailov
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Series Volume
- 273
- Copyright
- 2018
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-04807-5
- DOI
- 10.1007/978-3-030-04807-5
- Hardcover ISBN
- 978-3-030-04806-8
- Series ISSN
- 2194-1009
- Edition Number
- 1
- Number of Pages
- XI, 216
- Number of Illustrations
- 6 b/w illustrations, 13 illustrations in colour
- Topics
