dorsal/arxiv
View SchemaThirring Solitons in the presence of dispersion
| Authors | Alan R Champneys, Boris A Malomed, Mark J friedman |
|---|---|
| Categories | |
| ArXiv ID | physics/9803013 |
| URL | https://arxiv.org/abs/physics/9803013 |
| DOI | 10.1103/PhysRevLett.80.4169 |
| Journal | Phys.Rev.Lett. 80 (1998) 4169-4172 |
Abstract
The effect of dispersion or diffraction on zero-velocity 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/diffraction are shown numerically to be separated by a finite gap from three isolated soliton branches. Inside the gap, there is an infinity of multi-soliton branches. Thus, the Thirring solitons are structurally unstable. In another parameter region (far from the Thirring limit), solitons exist everywhere.
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"abstract": "The effect of dispersion or diffraction on zero-velocity solitons is studied\nfor the generalized massive Thirring model describing a nonlinear optical fiber\nwith grating or parallel-coupled planar waveguides with misaligned axes. The\nThirring solitons existing at zero dispersion/diffraction are shown numerically\nto be separated by a finite gap from three isolated soliton branches. Inside\nthe gap, there is an infinity of multi-soliton branches. Thus, the Thirring\nsolitons are structurally unstable. In another parameter region (far from the\nThirring limit), solitons exist everywhere.",
"arxiv_id": "physics/9803013",
"authors": [
"Alan R Champneys",
"Boris A Malomed",
"Mark J friedman"
],
"categories": [
"physics.optics"
],
"doi": "10.1103/PhysRevLett.80.4169",
"journal_ref": "Phys.Rev.Lett. 80 (1998) 4169-4172",
"title": "Thirring Solitons in the presence of dispersion",
"url": "https://arxiv.org/abs/physics/9803013"
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