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.
Original languageEnglish
Publication statusPublished - 1997

Bibliographical note

Additional information: Preprint of a paper later published by the American Physical Society (1998), Physical Review Letters, 80 (19), pp.4169-4172, ISSN 0031-9007

Keywords

  • Thirring solitons
  • dispersion
  • nonlinear optical fiber
  • generalized massive Thirring model
  • parallel-coupled planar waveguides

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