主题词：Nonlinear Waves and Solitons; Nonlinear Photonic Systems; Advanced Mathematical Physics Problems; Fluid Dynamics and Turbulent Flows; Differential Equations and Numerical Methods; Ocean Waves and Remote Sensing; Advanced Mathematical Modeling in Engineering; Nonlinear Dynamics and Pattern Formation; Numerical methods for differential equations; Computational Fluid Dynamics and Aerodynamics; Mathematical functions and polynomials; Mathematical and Theoretical Epidemiology and Ecology Models; Quantum chaos and dynamical systems; Fractional Differential Equations Solutions; Navier-Stokes equation solutions; Matrix Theory and Algorithms; Scientific Research and Discoveries; Advanced Differential Equations and Dynamical Systems; Oceanographic and Atmospheric Processes; Algebraic structures and combinatorial models; Differential Equations and Boundary Problems; Quantum Mechanics and Non-Hermitian Physics; Advanced Thermodynamics and Statistical Mechanics; Mathematics and Applications; Diverse Scientific and Economic Studies