Bifurcation and new traveling wave solutions for the 2D Ginzburg–Landau equation
Department of Mathematics and Statistics, College of Science, King Faisal University, P. O. Box 400, 31982, Al-Ahsa, Saudi Arabia
2 Department of Mathematics, Faculty of Science, Mansoura University, 35516, Mansoura, Egypt
Accepted: 7 August 2020
Published online: 11 August 2020
We apply the bifurcation theory for planar dynamical systems to the 2D Ginzburg–Landau equation. We construct all the possible traveling wave solutions, some of which are completely new and others have been introduced previously in El Achab and Amine (Nonlinear Dyn 91:995–999, 2018) and Hassan et al. (Eur Phys J Plus 134:425–437, 2019). Furthermore, three-dimensional and two-dimensional graphics of the new solutions are introduced.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020