Title of article :
On the new extensions to the Benjamin-Ono equation
Author/Authors :
Ali ، Khalid Karam Mathematics Department - Faculty of Science - Al-Azhar University , Nuruddeen ، Rahmatullah Ibrahim Department of Mathematics - Faculty of Science - Federal University Dutse , Yildirim ، Ahmet Department of Mathematics - Faculty of Science - Ege University
Abstract :
In this paper, we analytically study the newly developed (2+1)-dimensional Benjamin- Ono 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 :
Solitary waves , Benjamin , Ono equations , Extended tanh method. 2010 Mathematics Subject Classification. 35C07, 35R11, 35Q53
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
