Different solutions to the conformable generalized (3 + 1)-dimensional Camassa–Holm–Kadomtsev–Petviashvili equation arising in shallow-water waves

Abstract

This paper employed the [Formula: see text]-expansion, Riccati equation, [Formula: see text]-expansion, and modified Kudryashov methods to find new exact solution sets for the conformable generalized [Formula: see text]-dimensional Camassa–Holm–Kadomtsev–Petviashvili equation. The accuracy of the results has been demonstrated using a variety of graphical representations. These newly obtained solutions can be applied to further research and understand the dynamics of the Camassa–Holm–Kadomtsev–Petviashvili equation, which arises in ocean and water wave theory, hydrodynamics, plasma physics, nonlinear sciences, and engineering. The presented four methods are straightforward, robust, and successful in getting analytical solutions to nonlinear fractional differential equations, as the analytical results indicate.