Abstract
In this paper, a system of multi-coupled equations describing the propagation of ultrashort pulses (USPs) in a multicomponent nonlinear medium is investigated. Based on the Lax pair, the N-fold Darboux transformation (DT) is constructed. As an application of the DT, the soliton solutions are presented by means of symbolic computation. Some figures are plotted to illustrate the dynamical features of the solutions. The results may be useful for the study of USP propagation in situations such as the model of a multicomponent nonlinear medium.
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