Some New Traveling Wave Solutions of Nonlinear Fluid Models via the MSE Method

Authors : Gizel Bakicierler, Emine Misirli

Pages : 187-194

Doi:10.33401/fujma.933947

View : 17 | Download : 12

Publication Date : 2021-09-30

Article Type : Research

Abstract :In this study, some new exact wave solutions of nonlinear partial differential equations are investigated by the modified simple equation method. This method is applied to the $(2+1)$-dimensional Calogero-Bogoyavlenskii-Schiff equation and the $(3+1)$-dimensional Jimbo-Miwa equation. Our applications reveal how to use the proposed method to solve nonlinear partial differential equations with the balance number equal to two. Consequently, some new exact traveling wave solutions of these equations are achieved, and types of waves are determined. To verify our results and draw the graphs of the solutions, we use the Mathematica package program.
Keywords : Calogero-Bogoyavlenskii- Schiff equation, Jimbo-Miwa equation., Modified simple equation method, Nonlinear partial differential equation, Traveling wave solution