Study on soliton solutions of the longitudinal wave equation and magneto-electro-elastic circular rod dynamical model-Reference-Cited by-同舟云学术

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

Published:2021-05-20 Issue:13 Volume:35 Page:2150168
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Darwish Adel¹,Seadawy Aly R.²,Ahmed Hamdy M.³^ORCID,Elbably A. L.¹,Shehab Mohammed F.³,Arnous Ahmed H.³

Affiliation:

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

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021797922150168X

Reference36 articles.

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