New complex wave structures to the complex Ginzburg-Landau model

Huiqing Wang; Md Nur Alam; Onur Alp İlhan; Gurpreet Singh; Jalil Manafian; Huiqing Wang; Md Nur Alam; Onur Alp İlhan; Gurpreet Singh; Jalil Manafian

doi:10.3934/math.2021515

AIMS Mathematics

2021, Volume 6, Issue 8: 8883-8894. doi: 10.3934/math.2021515

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Research article

New complex wave structures to the complex Ginzburg-Landau model

1.
Institute of Geomechanics, Chinese Academy of Geological Sciences, Beijing 100081, P.R. China
2.
School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China
3.
Department of Mathematics, Pabna University of Science and Technology, Pabna, 6600, Bangladesh
4.
Department of Mathematics, Faculty of Education, Erciyes University, 38039-Melikgazi-Kayseri, Turkey
5.
Department of Mathematics, Sant Baba Bhag Singh University, Jalandhar(INDIA)-144030
6.
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
7.
Natural Sciences Faculty, Lankaran State University, 50, H. Aslanov str., Lankaran, Azerbaijan

Received: 10 May 2021 Accepted: 01 June 2021 Published: 11 June 2021
MSC : 35A20, 35A24, 35A25, 35B10, 70K50

Int his paper, we study and analysis the complex Ginzburg-Landau model or CGL model to obtain some new solitary wave structures through the modified $ (G'/G) $-expansion method. Those solutions can explain through hyperbolic, trigonometric, and rational functions. The graphical design makes the dynamics of the equations noticeable. Herein, we state that the examined method is important, powerful, and significant in performing numerous solitary wave structures of various nonlinear wave models following in physics and engineering as well.
- modified $ (G'/G) $-expansion method,
- the complex Ginzburg-Landau model,
- solitary wave solutions
Citation: Huiqing Wang, Md Nur Alam, Onur Alp İlhan, Gurpreet Singh, Jalil Manafian. New complex wave structures to the complex Ginzburg-Landau model[J]. AIMS Mathematics, 2021, 6(8): 8883-8894. doi: 10.3934/math.2021515

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Abstract

Int his paper, we study and analysis the complex Ginzburg-Landau model or CGL model to obtain some new solitary wave structures through the modified $ (G'/G) $-expansion method. Those solutions can explain through hyperbolic, trigonometric, and rational functions. The graphical design makes the dynamics of the equations noticeable. Herein, we state that the examined method is important, powerful, and significant in performing numerous solitary wave structures of various nonlinear wave models following in physics and engineering as well.

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