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

Year 2021, Volume: 4 Issue: 3, 187 - 194, 30.09.2021

Gizel Bakıcıerler Emine Mısırlı

https://doi.org/10.33401/fujma.933947

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

Supporting Institution

Ege University, Scientific Research Project (BAP),

Project Number

2016FEN055

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