Soliton Management in Periodic Systems

Boris A. Malomed (Autor)

Buch | Softcover

180 Seiten

2010 | Softcover reprint of hardcover 1st ed. 2006
Springer-Verlag New York Inc.
978-1-4419-3817-6 (ISBN)

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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.

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.

Erscheint lt. Verlag	29.10.2010
Zusatzinfo	78 Illustrations, black and white; XII, 180 p. 78 illus.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Optik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
	Technik ► Elektrotechnik / Energietechnik
ISBN-10	1-4419-3817-6 / 1441938176
ISBN-13	978-1-4419-3817-6 / 9781441938176
Zustand	Neuware