Research PaperNo Access

Study on soliton solutions of the longitudinal wave equation and magneto-electro-elastic circular rod dynamical model

Adel Darwish

Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt

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Aly R. Seadawy

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

E-mail Address: aly742001@gmail.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 Academy, El-Shorouk City, Cairo, Egypt

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A. L. Elbably

Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt

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Mohammed F. Shehab

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

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, and

Ahmed H. Arnous

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

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https://doi.org/10.1142/S021797922150168XCited by:17 (Source: Crossref)

Abstract

In this paper, we use the improved modified extended tanh-function method to obtain exact solutions for the nonlinear longitudinal wave equation in magneto-electro-elastic circular rod. With the aid of this method, we get many exact solutions like bright and singular solitons, rational, singular periodic, hyperbolic, Jacobi elliptic function and exponential solutions. Moreover, the two-dimensional and the three-dimensional graphs of some solutions are plotted for knowing the physical interpretation.

Keywords:

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

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