dorsal/arxiv
View SchemaAbsolutely stable solitons in two-component active systems
| Authors | Boris Malomed, Herbert Winful |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9512002 |
| URL | https://arxiv.org/abs/patt-sol/9512002 |
| DOI | 10.1103/PhysRevE.53.5365 |
Abstract
As is known, a solitary pulse in the complex cubic Ginzburg-Landau (GL) equation is unstable. We demonstrate that a system of two linearly coupled GL equations with gain and dissipation in one subsystem and pure dissipation in another produces absolutely stable solitons and their bound states. The problem is solved in a fully analytical form by means of the perturbation theory. The soliton coexists with a stable trivial state; there is also an unstable soliton with a smaller amplitude, which is a separatrix between the two stable states. This model has a direct application in nonlinear fiber optics, describing an Erbium-doped laser based on a dual-core fiber.
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"abstract": "As is known, a solitary pulse in the complex cubic Ginzburg-Landau (GL)\nequation is unstable. We demonstrate that a system of two linearly coupled GL\nequations with gain and dissipation in one subsystem and pure dissipation in\nanother produces absolutely stable solitons and their bound states. The problem\nis solved in a fully analytical form by means of the perturbation theory. The\nsoliton coexists with a stable trivial state; there is also an unstable soliton\nwith a smaller amplitude, which is a separatrix between the two stable states.\nThis model has a direct application in nonlinear fiber optics, describing an\nErbium-doped laser based on a dual-core fiber.",
"arxiv_id": "patt-sol/9512002",
"authors": [
"Boris Malomed",
"Herbert Winful"
],
"categories": [
"patt-sol",
"nlin.PS"
],
"doi": "10.1103/PhysRevE.53.5365",
"title": "Absolutely stable solitons in two-component active systems",
"url": "https://arxiv.org/abs/patt-sol/9512002"
},
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