Application of bifurcation method and rational sine-Gordon expansion method for solving 2D complex Ginzburg

Application of bifurcation method and rational sine-Gordon expansion method for solving 2D complex Ginzburg–Landau equation

Published:2020-04-10 Issue:09 Volume:34 Page:2050079
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Leta Temesgen Desta¹²^ORCID,El Achab Abdelfattah³,Liu Wenjun¹,Ding Jian¹

Affiliation:

1. School of Mathematics & Statistics, Nanjing University of Information Science and Technology, 219 Ningliu Road, Nanjing 210044, P. R. China

2. Department of Mathematics, Dilla University, P. O. Box 419, Dilla, SNNPR, Ethiopia

3. Department of Mathematics, Faculty of Sciences Semlalia, University Cadi Ayyad Bd. du Prince Moulay Abdellah, B. P. 2390 Marrakech, Morocco

Abstract

This paper implements bifurcation method and the rational sine-Gordon expansion method to investigate the dynamical behavior of traveling wave solutions of a 2D complex Ginzburg–Landau equation. By varying the parameters, we obtained traveling wave solutions including the periodic wave solutions, solitary wave solution, kink and anti-kink wave solution and in addition by using the rational sine-Gordon expansion method, we determined bright and dark soliton which have a great contribution in the long distance telecommunication system.

Funder

Talented Young Scientist Program

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979220500794

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