This research article investigates the bifurcation, chaos, and stability of the second fractional 3D Wazwaz-Benjamin-Bona-Mahony (WBBM) model, a significant model in shallow water wave dynamics. The study employs the Galilean transformation to derive the dynamical system, which is then analyzed using planar dynamic systems techniques. Key findings include the presence of quasi-periodic, periodic, and chaotic motion, as well as various soliton structures such as bright solitons, dark solitons, kink waves, and anti-kink waves. The analysis highlights the importance of chaos in understanding complex system dynamics and stability. The techniques used are efficient and effective, advancing the understanding of the model and suggesting broader applications in nonlinear systems. The study also provides graphical representations and sensitivity analysis, demonstrating the robustness of the model under different conditions. Overall, the research contributes to the field by offering new insights into the dynamics and behavior of the second fractional 3D WBBM model.This research article investigates the bifurcation, chaos, and stability of the second fractional 3D Wazwaz-Benjamin-Bona-Mahony (WBBM) model, a significant model in shallow water wave dynamics. The study employs the Galilean transformation to derive the dynamical system, which is then analyzed using planar dynamic systems techniques. Key findings include the presence of quasi-periodic, periodic, and chaotic motion, as well as various soliton structures such as bright solitons, dark solitons, kink waves, and anti-kink waves. The analysis highlights the importance of chaos in understanding complex system dynamics and stability. The techniques used are efficient and effective, advancing the understanding of the model and suggesting broader applications in nonlinear systems. The study also provides graphical representations and sensitivity analysis, demonstrating the robustness of the model under different conditions. Overall, the research contributes to the field by offering new insights into the dynamics and behavior of the second fractional 3D WBBM model.