EXACT STABLE PULSES IN ASYMMETRIC LINEARLY COUPLED GINZBURG-LANDAU EQUATIONS

We put forward the first physical model based on coupled Ginzburg-Land au equations that supports exact stable pulse solutions. The model des cribes a doped twin-core optical fiber with dispersive losses, dispers ion, and cubic nonlinearity in one component, and pure losses in the o ther. The exact stable pulses are found for the cases of the anomalous , normal, and zero dispersion. Necessary conditions for stability of t he pulses are obtained analytically, and a full stability analysis is performed numerically. We find nontrivial stability borders on the mod el's phase planes that do not follow from elementary theorems of the b ifurcation theory. (C) 1998 Elsevier Science B.V.