Boris A. Malomed

Soliton Management in Periodic Systems

• Broschiertes Buch

Produktbeschreibung

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-resonancemanagement 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.

Produktdetails

• Verlag: Springer / Springer US / Springer, Berlin
• Artikelnr. des Verlages: 978-1-4419-3817-6
• Softcover reprint of hardcover 1st ed. 2006
• Seitenzahl: 192
• Erscheinungstermin: 29. Oktober 2010
• Englisch
• Abmessung: 229mm x 152mm x 11mm
• Gewicht: 299g
• ISBN-13: 9781441938176
• ISBN-10: 1441938176
• Artikelnr.: 32135019

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

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)