Regularity and decay of dispersion management solitons

Mehmet Burak Erdogan, Dirk Hundertmark, Young Ran Lee

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The dispersion management technique has turned out to be of fundamental importance for the development of long-haul ultra-high speed data transfer through glass fiber cables. We show that solitary L2 solutions of the Gabitov-Turitsyn equation, which describes the evolution of signals in dispersion managed fiber cables, decay exponentially in space and frequency domains. This confirms in the affirmative Lushnikov's conjecture of exponential decay of dispersion managed solitons. For a discrete version version of the Gabitov-Turitsyn equation, describing the evolution of pulses in diffraction managed optical waveguides, we establish super-exponential decay of the solitary signals.

Original languageEnglish (US)
Title of host publicationNumerical Analysis and Applied Mathematics - International Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
Pages1225-1228
Number of pages4
DOIs
StatePublished - Nov 26 2009
EventInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009 - Rethymno, Crete, Greece
Duration: Sep 18 2009Sep 22 2009

Publication series

NameAIP Conference Proceedings
Volume1168
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational Conference on Numerical Analysis and Applied Mathematics 2009, ICNAAM-2009
Country/TerritoryGreece
CityRethymno, Crete
Period9/18/099/22/09

Keywords

  • Dispersion management
  • Non-linear non-local equations
  • Smoothness and decay of solutions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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