On the new extensions to the Benjamin-Ono equation

Document Type : Research Paper


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.


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.