主题词：Advanced Mathematical Modeling in Engineering; Nonlinear Partial Differential Equations; Advanced Mathematical Physics Problems; Stability and Controllability of Differential Equations; Navier-Stokes equation solutions; Nonlinear Differential Equations Analysis; Advanced Differential Equations and Dynamical Systems; Quantum chaos and dynamical systems; Differential Equations and Numerical Methods; Numerical methods in inverse problems; Mathematical and Theoretical Epidemiology and Ecology Models; Nonlinear Waves and Solitons; Spectral Theory in Mathematical Physics; Differential Equations and Boundary Problems; Geometric Analysis and Curvature Flows; Diverse Scientific and Economic Studies; Human auditory perception and evaluation; Mathematical Biology Tumor Growth; Educational Robotics and Engineering; Nonlinear Dynamics and Pattern Formation; Numerical methods for differential equations; Mathematical Dynamics and Fractals; Computational Fluid Dynamics and Aerodynamics; Nonlinear Photonic Systems; Stochastic processes and financial applications