https://doi.org/10.1140/epjp/s13360-021-01637-z
Regular Article
The generalized complex Ginzburg–Landau model and its dark and bright soliton solutions
1
Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
2
Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C., 44891-63157, Rudsar-Vajargah, Iran
3
Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530, Ankara, Turkey
4
Institute of Space Sciences, Magurele-Bucharest, Romania
5
Department of Medical Research, China Medical University, 40447, Taichung, Taiwan
6
Department of Mathematics, University of Punjab, Quaid-e-Azam Campus, Lahore, Pakistan
7
Research Institute for Natural Sciences, Hanyang University, 04763, Seoul, South Korea
8
Institute of IR 4.0, The National University of Malaysia, 43600, Bangi, Selangor, Malaysia
9
Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
b
mirzazadehs2@guilan.ac.ir
e
baak@hanyang.ac.kr
Received:
28
April
2021
Accepted:
2
June
2021
Published online:
1
July
2021
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021