%0 Journal Article %T On the new extensions to the Benjamin-Ono equation %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Karam Ali, Khalid %A Nuruddeen, Rahmatullah Ibrahim %A Yildirim, Ahmet %D 2020 %\ 08/01/2020 %V 8 %N 3 %P 424-445 %! On the new extensions to the Benjamin-Ono equation %K Solitary wave solutions %K Benjamin-Ono equations extensions %K Modified extended tanh method %R 10.22034/cmde.2020.32382.1505 %X 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. %U https://cmde.tabrizu.ac.ir/article_9929_ad3a99b6800934face9dc443e21b206d.pdf