Thirring solitons in the presensce of dispersion

AR Champneys, B.A. Malomed, MJ Friedman

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

The effect of dispersion on existence of solitons is studied for the generalized massive Thirring model describing a nonlinear optical fiber with grating or parallel-coupled planar waveguides with misaligned axes. The Thirring solitons existing at zero dispersion are shown numerically to be separated by a finite dispersion gap from three isolated soliton branches. Inside the gap, there is an infinity of multi-soliton branches, which are presumably dynamically unstable. Thus, the Thirring solitons are structurally unstable. In another parameter region (far from the Thirring limit), solitons exist everywhere.
Translated title of the contributionThirring solitons in the presensce of dispersion
Original languageEnglish
Pages (from-to)4169 - 4172
Number of pages4
JournalPhysical Review Letters
Volume80
Issue number19
Publication statusPublished - 1997

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