This study employs advanced computational methodologies to investigate the nonlinear complex fractional generalized Zakharov equations, herein referred to as \({\mathcal {NCFGZ}}\) . The primary objective is to elucidate precise and groundbreaking solitary wave solutions. These equations find wide–ranging applications in diverse domains, including plasma physics, nonlinear optics, and wave dynamics. The pursuit of highly accurate solitary wave solutions is of paramount significance, as it contributes to both theoretical comprehension and practical real-world applications. By harnessing cutting-edge computational techniques along with conformable fractional derivative \((\mathbb {CFD})\) and leveraging the capabilities of Mathematica 13.1 software, this research significantly advances theoretical knowledge and provides valuable practical insights. The computational approaches employed in this research outperform conventional methods in terms of their efficacy, demonstrating a high degree of precision and efficiency in solving complex fractional differential equations. These findings underscore the pivotal role that precise solitary wave solutions play in forecasting and comprehending the behavior of nonlinear systems governed by the generalized Zakharov, or \({\mathcal{G}\mathcal{Z}}\) , equations. Furthermore, this study yields profound implications for the symmetry theorem of solitons, enhancing our understanding of symmetry properties within the context of \({\mathcal{G}\mathcal{Z}}\) equations and their broader influence on wave phenomena.
