On the new extensions to the Benjamin-Ono equation

Document Type : Research Paper

Authors

1 Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt.

2 Department of Mathematics, Faculty of Science, Federal University Dutse, Jigawa State, Nigeria.

3 Department of Mathematics, Faculty of Science, Ege University,Bornova, Izmir, Turkey.

Abstract

In this paper, we analytically study the newly developed (2+1)-dimensional BenjaminOno equation by Wazwaz and propose its (3+1)-dimensional version. For this purpose, we successfully employed the modified extended tanh expansion method to construct certain hyperbolic, periodic and complex solitary wave structures simulated with the aid of symbolic computation using Mathematica. Also, we have depicted graphically the constructed solutions.

Keywords

Computational Methods for Differential Equations
Volume 8, Issue 3
August 2020
Pages 424-445

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History

  • Receive Date: 07 March 2019
  • Revise Date: 15 May 2019
  • Accept Date: 15 June 2019

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