Exact Traveling-Wave Solutions of the Conformable Fractional Kadomtsev-Petviashvili Equation via the Riccati Equation Method
Year: 2026
Type: article
Abstract: This paper investigates exact traveling-wave solutions of the conformable fractional Kadomtsev-Petviashvili (KP) equation. The conformable fractional derivative is employed because it preserves many fundamental properties of classical calculus, including the chain rule. By means of a conformable traveling-wave transformation, the governing fractional partial differential equation is reduced to an ordinary differential equation. The Riccati equation method is then utilized to construct exact analytical solutions. A family of hyperbolic, trigonometric, and rational solutions is obtained. Unlike several existing fractional KP formulations based on Caputo-type derivatives, the present reduction is mathematically rigorous due to the validity of the conformable chain rule. The obtained solutions are verified by direct substitution into the reduced equation. Keywords: Conformable derivative, fractional KP equation, exact solutions, Riccati equation, traveling waves, nonlinear evolution equations.
Author: Weiguang Huang
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7225158687