Soliton Management in Periodic Systems
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Soliton Management in Periodic Systems

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ISBN-13:
9780387256351
Erscheinungsdatum:
01.12.2005
Seiten:
180
Autor:
Boris A. Malomed
Gewicht:
449 g
Format:
242x155x16 mm
Sprache:
Englisch
Beschreibung:

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.
In a field of study that is still in intensive development, this book provides a unique and informative snapshot of the state of the art. The volume opens with a review of the existence of robust solitons and soliton-like solitary pulses in systems built as a periodic concatenation of very different elements. Among the most famous examples are the dispersion management (DM) in fiber-optic telecommunication links, and more recently, photonic crystals. A number of other systems belonging to the same broad class of periodic strongly inhomogeneous systems (such as tandem models, the split-step model, etc.) have recently been investigated in nonlinear optics.
Periodically modulated dispersion, and dispersion management: basic results for solitons.- The split-step model.- Nonlinearity management for quadratic, cubic, and Bragg-grating solitons.- Resonant management of one-dimensional solitons in Bose-Einstein condensates.- Management for channel solitons: a waveguiding-antiwaveguiding system.- Stabilization of spatial solitons in bulk Kerr media with alternating nonlinearity.- Stabilization of two-dimensional solitons in Bose-Einstein condensates under Feshbach-resonance management.- Multidimensional dispersion management.- Feshbach-resonance management in optical lattices.

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