Soliton management in periodic systems

Boris A. Malomed*

*Corresponding author for this work

Research output: Book/ReportBookpeer-review

491 Scopus citations


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.

Original languageEnglish
Place of PublicationNew York
PublisherSpringer US
Number of pages180
ISBN (Electronic)0387256350, 0387293345, 128061868X, 9780387256351, 9786610618682
ISBN (Print)0387256350, 9780387256351
StatePublished - 2006

ULI Keywords

  • uli
  • Solitons
  • Pulses, Solitary wave
  • Solitary wave pulses
  • Wave pulses, Solitary


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