主题词：Nonlinear Waves and Solitons; Nonlinear Photonic Systems; Algebraic structures and combinatorial models; Quantum chaos and dynamical systems; Numerical methods for differential equations; Advanced Topics in Algebra; Advanced Differential Equations and Dynamical Systems; Advanced Mathematical Physics Problems; Fractional Differential Equations Solutions; Quantum Mechanics and Non-Hermitian Physics; Differential Equations and Numerical Methods; Homotopy and Cohomology in Algebraic Topology; Black Holes and Theoretical Physics; Molecular spectroscopy and chirality; Geometric Analysis and Curvature Flows; Advanced Algebra and Geometry; Algebraic and Geometric Analysis; Spectral Theory in Mathematical Physics; Advanced Differential Geometry Research; Geometry and complex manifolds; Ocean Waves and Remote Sensing; Nonlinear Dynamics and Pattern Formation; Advanced Mathematical Modeling in Engineering; Matrix Theory and Algorithms; Nonlinear Partial Differential Equations