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New exact solitary waves solutions to the fractional Fokas-Lenells equation via Atangana-Baleanu derivative operator

Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

Department of Basic Science, Faculty of Mines and Petroleum Industries, University of Maroua, Maroua, Cameroon

National Advanced School of Engineering, University of Yaounde I, Cameroon

Laboratory of Mechanics, Materials and Structures, Department of physics, University of Yaounde I, Cameroon

Centre d’Excellence en Technologies de l’Information, et de la Communication (CETIC), University of Yaounde I, Yaounde, Cameroon

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Alper Korkmaz

Nord Staße 9 Weimar, Germany

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Mostafa M. A. Khater

http://orcid.org/0000-0001-8466-168X

Department of Mathematics, Faculty of Science, Jiangsu University, 212013, Zhenjiang, P. R. China

Department of Mathematics, Obour Institutes, 11828, Cairo, Egypt

E-mail Address: mostafa.khater2024@yahoo.com

Corresponding author.

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Serge P. T. Mukam

Department of Basic Science, Faculty of Mines and Petroleum Industries, University of Maroua, Maroua, Cameroon

National Advanced School of Engineering, University of Yaounde I, Cameroon

Laboratory of Mechanics, Materials and Structures, Department of physics, University of Yaounde I, Cameroon

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, and

Victor K. Kuetche

Department of Basic Science, Faculty of Mines and Petroleum Industries, University of Maroua, Maroua, Cameroon

National Advanced School of Engineering, University of Yaounde I, Cameroon

Laboratory of Mechanics, Materials and Structures, Department of physics, University of Yaounde I, Cameroon

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https://doi.org/10.1142/S0217979220503099Cited by:9 (Source: Crossref)

Abstract

In this research, a particular attention has been given on the fractional Fokas-Lenells equation via Atangana-Baleanu derivative operator that describe the propagation of short pulses in optical fibers. The integrability properties has been investigated while using the modified Khater method that we present in details. As a result, number of new soliton solutions are obtained along with constraints on some parameters that are introduced accordingly. For further details about our obtained solutions, some distinct types of solutions have been illustrated to explain more physical and dynamical behavior of the short wave pulses in the optical fibers.

Keywords:

PACS: 03.65.Ge

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