<p>Dynamical characteristics of pulsating solitons in fiber laser allows improvements in nonlinear wave motion and optical communication. The behaviour of pulsating solitons in the process of the Complex Ginzburg-Landau Equation (CGLE) is examined in this work, and their evolution under different parameters is analysed using the Split-Step Fourier Method (SSFM). To investigate their effects on soliton stability, intensity, and pulsing properties, key variables like dispersion parameters, domain size, and spatial grid resolution are studied. Results shows that while reduced dispersion facilitates soliton localization, increasing spatial grid resolution and simulation time it improves soliton accuracy and stability. On the other hand, more changes could cause instabilities such as soliton collapse or broadening. The findings provide insights into efficient design for applications in nonlinear optics and information processing by highlighting the crucial role that parameter selection plays in effectively capturing pulsing soliton dynamics. This study opens the door for improved pulse management in fiber-based laser systems and highlights the usefulness of the CGLE in soliton modelling.</p>