Abstract
Considering a pulse-like ansatz, we derive different classes of exact soliton solutions of the modified complex Ginzburg–Landau equation. We then present the important variations which occur in the domain of stability of these solutions depending on the values of the renormalization coeffecients. This means that this term which can be considered for nonzero solutions and which does not generally occur in the literature could explain the lack of concordance between some theory and experiments.