Dynamical investigation of the new (3+1)-dimensional Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation with conformable fractional derivative

This paper examines the conformable version of a recently proposed novel [Formula: see text]-dimensional Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation. First, some basic definitions and properties of the conformable derivative are provided. To find exact solutions to this problem, the modified extended tanh-function, exp([Formula: see text]-expansion, and Kudryashov R function methods are applied. The results are illustrated by utilizing some of the gathered data’s physical 3D, contour, and 2D surfaces, which sheds light on how geometric patterns are physically comprehended. These solutions contribute to understanding the potential practical applications of the examined model and other nonlinear representations in the physical sciences. These techniques can provide significant solutions for various fractional differential equations.