Analytical solutions of the fractional coupled Konopelchenko-Dubrovsky equation via the modified (w/g)-expansion method

International Journal of ADVANCED AND APPLIED SCIENCES 2026 Open access

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Authors: Elzain A. E. Gumma, Abaker A. Hassaballa, Ahmed M. A. Adam, Faroug A. Abdalla, Ashraf F. A. Mahmoud, Gamal Saad Mohamed Khamis, Omer M. A. Hamed, Zakariya M. S. Mohammed
DOI: 10.21833/ijaas.2026.01.012
Cited by: 0
References: 17

Abstract

This study investigates solutions to the fractional (2+1)-dimensional coupled Konopelchenko-Dubrovsky (FKD) equation using the beta fractional derivative method. The main goal is to find exact analytical solutions by applying the modified (w/g)-expansion technique. Several types of solutions with unknown parameters are obtained. To illustrate the results, graphs based on selected parameter values are provided. The results confirm that the modified (w/g)-expansion method is an effective and reliable tool for solving the fractional FKD equation.

Fields of Study & Subjects

Nonlinear Waves and Solitons Fractional Differential Equations Solutions Nonlinear Differential Equations Analysis

Publication details

Journal / source
International Journal of ADVANCED AND APPLIED SCIENCES
Volume
13
Issue
1
Pages
115–124
Publication date
20 January 2026