Absolutely stable solitons in two-component active systems

Details Absolutely stable solitons in two-component active systems Absolutely stable solitons in two-component active systems

1995-12-18

arxiv.org/abs/patt-sol/9512002v1

Nonlinear Sciences

Pattern Formation and Solitons

14 pages, latex file, no figures Physical Review E, in press

Scientific paper

10.1103/PhysRevE.53.5365

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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