Mohammed, W.W., Vivas-Cortez, M., Bilal, M. , Yousif, M.A., Ahmed, K.K. and Mohammed, P.O. 2026. Exploring Solutions’ Families of the Fractional Hirota-Satsuma Coupled KdV Equation via Extended Direct Algebraic Method. Contemporary Mathematics . 7, 3 (Jun. 2026), 3929–3960. DOI:https://doi.org/10.37256/cm.7320268626.