Motion of solitons of the complex Ginzburg-Landau equation: The effect of an external frequency-shifted source
Résumé
The effect of an external continuous wave (cw) on the motion of solitons of the complex Ginzburg-Landau (CGL) equation is investigated. It is shown that soliton motion, which is prevented by a strong braking due to finite gain bandwitdh, can be induced by the cw. Then the effect of the cw on the collective behavior of a large number of dissipative solitons is considered. Starting from a soliton crystal, we demonstrate that the soliton motion is induced by the cw, so that either the soliton gas, liquid, or crystal can be obtained depending on the intensity and the frequency of the cw.