The generalized complex Ginzburg-Landau model and its dark and bright soliton solutions

In the present work, the generalized complex Ginzburg-Landau (GCGL) model is considered and its 1-soliton solutions involving different wave structures are retrieved through a series of newly well-organized methods. More exactly, after considering the GCGL model, its 1-soliton solutions are obtained using the exponential and Kudryashov methods in the presence of perturbation effects. As a case study, the effect of various parameter regimes on the dynamics of the dark and bright soliton solutions is analyzed in three- and two-dimensional postures. The validity of all the exact solutions presented in this study has been examined successfully through the use of the symbolic computation system.

Automated summary

In this study, 1-soliton solutions of the generalized complex Ginzburg-Landau model were obtained using exponential and Kudryashov methods, considering perturbation effects. The impact of parameter regimes on the dynamics of dark and bright soliton solutions in three- and two-dimensional postures was analyzed. The validity of all exact solutions presented in this study was successfully confirmed through the use of a symbolic computation system.