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.
|Publication status||Published - 1997|
Bibliographical noteAdditional information: Preprint of a paper later published by the American Physical Society (1998), Physical Review Letters, 80 (19), pp.4169-4172, ISSN 0031-9007
- Thirring solitons
- nonlinear optical fiber
- generalized massive Thirring model
- parallel-coupled planar waveguides