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

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

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

E-mail Address: leta_temesgen@163.com

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Abdelfattah El Achab

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

E-mail Address: abdelfattahelachab@gmail.com

Corresponding author.

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Wenjun Liu

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

E-mail Address: wjliu.cn@gmail.com

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, and

Jian Ding

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

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https://doi.org/10.1142/S0217979220500794Cited by:6 (Source: Crossref)

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.

Keywords:

PACS: 02.90.+p, 05.45.Yv, 47.20.Ky, 47.27.ed, 47.35.Fg

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