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

Year 2023, Volume: 8 Issue: 1, 19 - 23, 03.05.2023

Orkun Taşbozan Ali Kurt

Abstract

In this study, the sub-equation method is used as a tool for finding the analytical solutions of Coupled Boiti-Leon-Pempinelli (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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