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Dispersive soliton solutions for the Salerno equation for the nonlinear discrete electrical lattice in the forbidden bandgaps

Ahmed M. Elsherbeny

Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, Egypt

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Reda El-Barkouky

Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, Egypt

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Aly R. Seadawy

Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

E-mail Address: aly742001@yahoo.com

Corresponding author.

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Hamdy M. Ahmed

https://orcid.org/0000-0003-2694-5961

Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk, Cairo, Egypt

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Rabab M. I. El-Hassani

Department of Physics and Mathematics Engineering, Faculty of Engineering, Ain Shams University, Cairo, Egypt

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, and

Ahmed H. Arnous

Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk, Cairo, Egypt

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https://doi.org/10.1142/S0217979221503227Cited by:10 (Source: Crossref)

Abstract

In this paper, the modified Jacobi elliptic function method is applied for Salerno equation which describes the nonlinear discrete electrical lattice in the forbidden bandgaps. Dark and bright solitons are obtained. Also, periodic solutions and periodic Jacobi elliptic function solutions are reported. Moreover, for the physical illustration of the obtained solutions, three-dimensional and two-dimensional graphs are presented.

Keywords:

PACS: 02.30.Jr, 05.45.Yv, 47.10.A, 47.35.+i, 47.35.Fg

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