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Volume 02, Issue 11

Published on: November 2026

EXACT TRAVELING-WAVE SOLUTIONS OF THE CONFORMABLE FRACTIONAL KADOMTSEV-PETVIASHVILI EQUATION VIA THE RICCATI EQUATION METHOD

Weiguang Huang

DrHuang.com, Sydney, NSW 2033, Australia

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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.

How to Cite this Paper

Huang, W. (2026). Exact Traveling-Wave Solutions of the Conformable Fractional Kadomtsev-Petviashvili Equation via the Riccati Equation Method. International Journal of Creative and Open Research in Engineering and Management, <i>02</i>(11), 1-9. https://doi.org/10.55041/ijcope.v2i11.016

Huang, Weiguang. "Exact Traveling-Wave Solutions of the Conformable Fractional Kadomtsev-Petviashvili Equation via the Riccati Equation Method." International Journal of Creative and Open Research in Engineering and Management, vol. 02, no. 11, 2026, pp. 1-9. doi:https://doi.org/10.55041/ijcope.v2i11.016.

Huang, Weiguang. "Exact Traveling-Wave Solutions of the Conformable Fractional Kadomtsev-Petviashvili Equation via the Riccati Equation Method." International Journal of Creative and Open Research in Engineering and Management 02, no. 11 (2026): 1-9. https://doi.org/https://doi.org/10.55041/ijcope.v2i11.016.

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