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
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Solitons.
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Microwaves.
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Microwaves
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SCIENCE -- Waves & Wave Mechanics.
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Solitons -- Mathematical models.
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Physique.
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Solitons
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Solitons -- Mathematical models
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Form |
Electronic book
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ISBN |
9780387293349 |
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0387293345 |
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9786610618682 |
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6610618682 |
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