Overview
- No existing book offers a view similar to that outlined in the information text
- The main results in this area have been obtained less than ten years ago, and some in just the past few months
- The area is still in the stage of intensive development, therefore, the book would not be a final summary of the results, but rather a survey of a developing field
- Includes supplementary material: sn.pub/extras
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
During the past ten years, there has been intensive development in theoretical and experimental research of solitons in periodic media. This book provides a unique and informative account of the state-of-the-art in the field. The volume opens with a review of the existence of robust solitary pulses in systems built as a periodic concatenation of very different elements. Among the most famous examples of this type of systems are the dispersion management in fiber-optic telecommunication links, and (more recently) photonic crystals. A number of other systems belonging to the same broad class of spatially periodic strongly inhomogeneous media (such as the split-step and tandem models) have recently been identified in nonlinear optics, and transmission of solitary pulses in them was investigated in detail. Similar soliton dynamics occurs in temporal-domain counterparts of such systems, where they are subject to strong time-periodic modulation (for instance, the Feshbach-resonance management in Bose-Einstein condensates). Basis results obtained for all these systems are reviewed in the book. This timely work will serve as a useful resource for the soliton community.
Reviews
From the reviews:
“The book under review makes its appearance about a decade after its subject became one of the hot topics in nonlinear wave theory. … The book contains a comprehensive review of the respective theoretical results obtained using either numerical methods or the semi-analytical variational approach. … The timely appearance of this book, as well as the wide range of physical problems addressed, makes the work a valuable reference for a broad audience interested in recent developments in the theory of nonlinear waves and its applications.” (Vladimir V. Konotop, Mathematical Reviews, Issue 2012 b)Authors and Affiliations
Bibliographic Information
Book Title: Soliton Management in Periodic Systems
Authors: Boris A. Malomed
DOI: https://doi.org/10.1007/0-387-29334-5
Publisher: Springer New York, NY
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag US 2006
Hardcover ISBN: 978-0-387-25635-1Published: 09 December 2005
Softcover ISBN: 978-1-4419-3817-6Published: 29 October 2010
eBook ISBN: 978-0-387-29334-9Published: 06 July 2006
Edition Number: 1
Number of Pages: XII, 180
Number of Illustrations: 78 b/w illustrations
Topics: Quantum Optics, Microwaves, RF and Optical Engineering, Complex Systems, Mathematical Methods in Physics, Quantum Gases and Condensates, Statistical Physics and Dynamical Systems