Analytical Solutions of Conformable Boussinesq-Double-Sinh-Gordon and First Boussinesq-Liouville Equations with the Help of Auxiulary Equation Method

Year 2020, Volume: 2 Issue: 2, 40 - 54, 30.10.2020

Sera Yılmaz Orkun Taşbozan

Abstract

In this article, the analytical solutions of nonlinear fractional order Boussinesq-Double-Sinh-Gordon equation and first Boussinesq-Liouville equation are obtained with the aid of auxiulary equation method where the fractional derivatives are in conformable sense. Both equations were first converted to non-linear ordinary derivative differential equations with the help of wave transformation. auxiliary equation method was used to find analytical solutions of these ordinary derivative equations. Three dimensional graphics of the obtained results for nonlinear fractional order Boussinesq-Double-Sinh-Gordon equation and first Boussinesq-Liouville equation are given.

Keywords

Conformable Fractional Partial Differential Equations, Auxiulary Equation Method, Conformable Boussinesq-Double-Sinh-Gordon, Conformable First Boussinesq-Liouville

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