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E-book
Author Malomed, Boris A.

Title Soliton management in periodic systems / Boris A. Malomed
Published New York : Springer, ©2006

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Description 1 online resource (xii, 180 pages) : illustrations
Contents Machine generated contents note: 1. Introduction -- 2. Periodically modulated dispersion, and dispersion management : basic results for solitons -- 3. split-step model -- 4. Nonlinearity management for quadratic, cubic, and Bragg-grating solitons -- 5. Resonant management of one-dimensional solitons in Bose-Einstein condensates -- 6. Management for the channel solitons : a waveguide-antiwaveguiding system -- 7. Stabilization of spatial solitons in bulk Kerr media with alternating nonlinearity -- 8. Stabilization of two-dimensional solitons in Bose-Einstein condensates under Feshbach-resonance management -- 9. Multidimensional dispersion management
Summary 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
Bibliography Includes bibliographical references (pages 161-173) and index
Notes Print version record
In Springer e-books
Subject Solitons -- Mathematical models
Solitons.
Microwaves.
Microwaves
SCIENCE -- Waves & Wave Mechanics.
Solitons -- Mathematical models.
Physique.
Solitons
Solitons -- Mathematical models
Form Electronic book
ISBN 9780387293349
0387293345
9786610618682
6610618682