Abstract <p>In this study, we examine the effective approaches for solving the dual-mode fourth-order nonlinear Schrödinger equation governed by parabolic law nonlinearity through the uniform method, which is powerful mathematical approaches for solving nonlinear partial differential equations. These methods enable the construction of a wide variety of exact optical soliton solutions, including wave, bright, kink, and singular-type solitons. The validity and behavior of the obtained solutions are demonstrated through detailed two-dimensional visualizations, including line plots of real and imaginary components and intensity distributions at multiple time instances. The temporal evolution analysis reveals the structural stability and dynamic propagation characteristics of each solution type. The parabolic law nonlinearity introduces unique features that distinguish these solutions from conventional cubic nonlinear systems, enabling the emergence of hybrid wave-kink structures and enhanced solution diversity. The results contribute to a deeper theoretical understanding of nonlinear wave dynamics in dual-mode systems and offer valuable implications for applications in optical fiber communications and plasma physics. This work demonstrates the efficiency and reliability of the employed analytical methods in constructing exact solutions for complex nonlinear evolution equations.</p>