Abstract
We consider the effect on the motion of a dissipative soliton of the diffusion term in the quintic complex Ginzburg-Landau (CGL) equation, which accounts for the finite bandwidth of the gain when this model describes light pulse evolution in a fiber laser. We show analytically that, if the velocity is small enough, this effect can be modeled by a viscous friction force acting on the soliton. Numerical resolution of the CGL equation shows that this analytical approximation is valid with good accuracy in the case of anomalous dispersion.
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