Abstract
By using the multiple-scale method, we analytically study the dynamical properties of a temporal optical soliton under the consideration of the high order effects and cross-coupling relaxation of longitudinal optical phonons (CCRLOP) in an asymmetrical four-level semiconductor double quantum wells. The results reveal that when increasing strength of CCRLOP, the amplitude of the soliton shows a decrease-to-increase behavior. At fixed CCRLOP intensity, the amplitude and width of the soliton both exhibit a minimum or/and a maximum as a function of three-photon detuning. Moreover, these extremums will shift to the smaller side of the three-photon detuning with the increasing strength of CCRLOP. In addition, with the increasing strength of CCRLOP, the whole trend of group velocity of the soliton changes from an initial increase followed by a decrease to a direct decrease. These results may supply a reference value for experimentally adjusting and controlling the dynamical characteristics of the solitons.
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