University of Tabriz Computational Methods for Differential Equations 2345-3982 8 3 2020 08 01 On the new extensions to the Benjamin-Ono equation 424 445 9929 10.22034/cmde.2020.32382.1505 EN Khalid Karam Ali Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt. Rahmatullah Ibrahim Nuruddeen Department of Mathematics, Faculty of Science, Federal University Dutse, Jigawa State, Nigeria. Ahmet Yildirim Department of Mathematics, Faculty of Science, Ege University,Bornova, Izmir, Turkey. Journal Article 2019 03 07 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. https://cmde.tabrizu.ac.ir/article_9929_ad3a99b6800934face9dc443e21b206d.pdf