Hosseini, K.Mirzazadeh, M.Baleanu, DumitruRaza, N.Park, C.Ahmadian, A.Salahshour, S.2023-02-072023-02-072021Hosseini, K...et al. (2021). "The generalized complex Ginzburg–Landau model and its dark and bright soliton solutions", European Physical Journal Plus, Vol. 136, No. 7.2190-5444http://hdl.handle.net/20.500.12416/6123In 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.eninfo:eu-repo/semantics/closedAccessArticle136710.1140/epjp/s13360-021-01637-z