主题词：Nonlinear Waves and Solitons; Quantum Mechanics and Applications; Advanced Topics in Algebra; Quantum chaos and dynamical systems; Algebraic structures and combinatorial models; Spectral Theory in Mathematical Physics; Black Holes and Theoretical Physics; Advanced Differential Geometry Research; Quantum Information and Cryptography; Quantum Mechanics and Non-Hermitian Physics; Advanced Operator Algebra Research; Homotopy and Cohomology in Algebraic Topology; Cosmology and Gravitation Theories; Advanced Thermodynamics and Statistical Mechanics; Nonlinear Photonic Systems; Geometric Analysis and Curvature Flows; Algebraic and Geometric Analysis; Noncommutative and Quantum Gravity Theories; Statistical Mechanics and Entropy; Advanced Algebra and Geometry; Advanced Algebra and Logic; Matrix Theory and Algorithms; Cold Atom Physics and Bose-Einstein Condensates; Fractional Differential Equations Solutions; advanced mathematical theories