New Conformable P-Type $(3+1)$-Dimensional Evolution Equation and its Analytical and Numerical Solutions

Year 2024, Issue: 46, 71 - 88, 29.03.2024

Mehmet Şenol , Meliha Özlem Erol

https://doi.org/10.53570/jnt.1420224

Abstract

The paper examines the conformable nonlinear evolution equation in $(3+1)$-dimensions. First, basic definitions and characteristics for the conformable derivative are given. Then, the modified extended tanh-function and $\exp(–\phi(\xi))$-expansion techniques are utilized to determine the exact solutions to this problem. The consequences of some of the acquired data's physical 3D and 2D contour surfaces are used to demonstrate the findings, providing insight into how geometric patterns are physically interpreted. These solutions help illustrate how the studied model and other nonlinear representations in physical sciences might be used in real-world scenarios. It is clear that these methods have the capacity to solve a large number of fractional differential equations with beneficial outcomes.

Keywords

$(3+1)$-dimensional evolution equation, modified extended tanh-function method, $\exp(–\phi(\xi))$-expansion method, residual power series method, conformable derivative

Ethical Statement

All authors declare no conflict of interest.

Supporting Institution

Nevşehir Hacı Bektaş Veli University.

Project Number

HDP23F2

Thanks

NEVÜBAP

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