Analytical Solutions of Coupled Boiti-Leon-Pempinelli Equation with Fractional Derivative

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Turkish Journal of Science
Volume:8 Issue:1
Analytical Solutions of Coupled Boiti-Leon-Pempinelli Equation with Fractional Derivative

Analytical Solutions of Coupled Boiti-Leon-Pempinelli Equation with Fractional Derivative

Authors : Orkun TAŞBOZAN, Ali KURT

Pages : 19-23

View : 49 | Download : 29

Publication Date : 2023-05-03

Article Type : Research Paper

Abstract :In this study, the sub-equation method is used as a tool for ﬁnding the analytical solutions of Coupled Boiti-Leon-Pempinelli insert ignore into journalissuearticles values(CBLP); equation where the derivatives are in conformable form with fractional term. In the introduction section advantages of the conformable derivative are expressed. By using the fractional wave transform and chain rule for conformable derivative, nonlinear fractional partial diﬀerential equation turns into nonlinear integer order diﬀerential equation. This translation gives us a great advantage for obtaining the analytical solutions and interpreting the physical behavior of the acquired solutions. As it can be in the rest of article sub-equation method is applied to CoupledBoiti-Leon-Pempinelli equation and the analytical results are derived successfully. This means that our method is eﬀective and powerful for constructing exact and explicit analytic solutions to nonlinear PDEs with fractional term. While this process symbolic computation such as Mathematica is used. It is shown that, with the help of symbolic computation, sub-equation method ensures a powerful and straightforward mathematical tool for solving nonlinear partial diﬀerential equations.
Keywords : Coupled Boiti Leon Pempinelli Equation, Conformable Derivative, Fractional Derivative, Sub Equation Method

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