The study of optical solitons in birefringent fibers is essential for understanding signal transmission stability in nonlinear dispersive systems. This article investigates the optical soliton solutions of the complex Ginzburg–Landau equations that take into account Hamiltonian perturbations and Kerr-type nonlinearity, modeling nonlinear wave propagation in birefringent fibers. The extended hyperbolic function and the generalized auxiliary equation methods are employed to obtain exact soliton solutions, followed by an analysis of their physical significance, offering insights into polarization effects, phase shifts and energy dissipation in optical fibers, aiding advancements in high-speed optical communication. It has been recognized that the proposed framework leads to a numerically convenient as well as mathematically sound mechanism for solving a wide range of nonlinear evolution equations. A 2D and 3D graphical presentation using certain parameterizations is included in this study for a deeper understanding of the solution’s physical attributes. The dependability of the methodology underscores its proficiency in addressing more intricate mathematical and engineering frameworks, thereby accentuating its broader significance.