Construction of Analytical Solutions to the Conformable New (3+1)-Dimensional Shallow Water Wave Equation

Year 2023, Issue: 43, 54 - 62, 30.06.2023

Mehmet Şenol , Mehmet Gençyiğit

https://doi.org/10.53570/jnt.1265715

Cited By: 6

Abstract

This study investigates the new (3+1)-dimensional shallow water wave equation. To do so, the definitions of conformable derivatives and their descriptions are given. Using the Riccati equation and modified Kudryashov methods, exact solutions to this problem are discovered. The gathered data's contour plot surfaces and related 3D and 2D surfaces emphasize the result's physical nature. To monitor the problem's physical activity, exact and complete solutions are necessary. The results demonstrate the potential applicability of additional nonlinear physical models from mathematical physics and under-investigation in real-world settings. In order to solve fractional differential equations, it may prove helpful to use these methods in various situations.

Keywords

Riccati equation method, modified Kudryashov method, new $(3+1)$-dimensional shallow water wave (SWW) equation, conformable derivative

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