This manuscript explores the dynamic behavior of the (3 + 1)-dimensional nonlinear extended quantum Zakharov-Kuznetsov (NLEQZK) equation, focusing on soliton solutions, chaotic phenomena, bifurcation, sensitivity, and stability. The generalized Arnous method is used to derive soliton solutions in hyperbolic, rational, and logarithmic forms, which are visualized using 3D surface and line graphs. The Galilean transformation is applied to facilitate bifurcation analysis, and chaotic behavior is investigated through Poincaré maps, time series, and phase portraits. The Runge–Kutta method is employed for sensitivity analysis, confirming the system's sensitivity to initial conditions. The study contributes valuable insights into nonlinear dynamical systems and soliton theory, highlighting the importance of exact solutions and their applications in various fields.This manuscript explores the dynamic behavior of the (3 + 1)-dimensional nonlinear extended quantum Zakharov-Kuznetsov (NLEQZK) equation, focusing on soliton solutions, chaotic phenomena, bifurcation, sensitivity, and stability. The generalized Arnous method is used to derive soliton solutions in hyperbolic, rational, and logarithmic forms, which are visualized using 3D surface and line graphs. The Galilean transformation is applied to facilitate bifurcation analysis, and chaotic behavior is investigated through Poincaré maps, time series, and phase portraits. The Runge–Kutta method is employed for sensitivity analysis, confirming the system's sensitivity to initial conditions. The study contributes valuable insights into nonlinear dynamical systems and soliton theory, highlighting the importance of exact solutions and their applications in various fields.