Soliton Management in Periodic Systems - by Boris A Malomed (Hardcover)

Book Synopsis

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.

From the Back Cover

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.

Review Quotes

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)