%0 Journal Article
%T The new exact solutions for the deterministic and stochastic (2+1)-dimensional equations in natural sciences
%A Abdulghani Alharbi
%A M. A. Sohaly
%A Mahmoud A. E. Abdelrahman
%J Journal of Taibah University for Science
%D 2019
%R https://doi.org/10.1080/16583655.2019.1644832
%X ABSTRACT This paper poses the Riccati¨CBernoulli sub-ODE method in order to find the exact (random) travelling wave solutions for the (2+1)-dimensional cubic nonlinear Klein¨CGordon (cKG) equation and the (2+1)-dimensional nonlinear Zakharov¨CKuznetsov modified equal width (ZK-MEW) equation. The obtained travelling wave solutions are expressed by the hyperbolic, trigonometric and rational functions. Indeed, these solutions reflect some interesting physical interpretation for nonlinear phenomena. We discuss our method in deterministic case and in a random case. Additionally, we can show and discuss this method under some random distributions. Finally, some three-dimensional graphics of some solutions have been illustrated
%U https://www.tandfonline.com/doi/full/10.1080/16583655.2019.1644832