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

Authors: Elzain A. E. Gumma ¹, Abaker A. Hassaballa ^{1, 2,} *, Ahmed M. A. Adam ¹, Faroug A. Abdalla ³, Ashraf F. A. Mahmoud ^{3, 4}, Gamal Saad Mohamed Khamis ³, Omer M. A. Hamed ⁵, Zakariya M. S. Mohammed ^{1, 2}

Affiliations:

¹Department of Mathematics, College of Science, Northern Border University, Arar, Saudi Arabia
²Center for Scientific Research and Entrepreneurship, Northern Border University, Arar, Saudi Arabia
³Department of Computer Science, College of Science, Northern Border University, Arar, Saudi Arabia
⁴Translation, Authorship and Publication Center, Northern Border University, Arar, Saudi Arabia
⁵Department of Finance and Insurance, College of Business Administration, Northern Border University, Arar, Saudi Arabia

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.

Keywords

Fractional calculus, FKD equation, Beta derivative, Analytical solutions, Expansion method

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DOI

https://doi.org/10.21833/ijaas.2026.01.012

Citation (APA)

Gumma, E. A. E., Hassaballa, A. A., Adam, A. M. A., Abdalla, F. A., Mahmoud, A. F. A., Khamis, G. S. M., Hamed, O. M. A., & Mohammed, Z. M. S. (2026). Analytical solutions of the fractional coupled Konopelchenko–Dubrovsky equation via the modified (w/g)-expansion method. International Journal of Advanced and Applied Sciences, 13(1), 115–124. https://doi.org/10.21833/ijaas.2026.01.012