Overview
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.
Full Product Details
Author: Boris A. Malomed
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: 1st ed. Softcover of orig. ed. 2006
Dimensions:
Width: 15.50cm
, Height: 1.00cm
, Length: 23.50cm
Weight: 0.454kg
ISBN: 9781441938176
ISBN 10: 1441938176
Pages: 180
Publication Date: 29 October 2010
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Out of print, replaced by POD
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Reviews
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)
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)
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)
