STABLE SOLITONS IN 2-COMPONENT ACTIVE SYSTEMS

As is known, a solitary pulse in the complex cubic Ginzburg-Landau (GL ) equation is unstable. We demonstrate that a system of two linearly c oupled GL equations with gain and dissipation in one subsystem and pur e dissipation in another produces absolutely stable solitons and their bound states. The problem is solved in a fully analytical form by mea ns of the perturbation theory. The soliton coexists with a stable triv ial 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-do ped laser based on a dual-core fiber.