主题词：Nonlinear Partial Differential Equations; Advanced Mathematical Modeling in Engineering; Geometric Analysis and Curvature Flows; Nonlinear Differential Equations Analysis; Spectral Theory in Mathematical Physics; Advanced Mathematical Physics Problems; Advanced Harmonic Analysis Research; Algebraic structures and combinatorial models; Differential Equations and Boundary Problems; Geometric and Algebraic Topology; Advanced Topics in Algebra; Geometry and complex manifolds; Numerical methods in inverse problems; Finite Group Theory Research; Stability and Controllability of Differential Equations; Mathematical Analysis and Transform Methods; Holomorphic and Operator Theory; Homotopy and Cohomology in Algebraic Topology; Mathematical functions and polynomials; Advanced Algebra and Geometry; Advanced Operator Algebra Research; Algebraic Geometry and Number Theory; Nonlinear Waves and Solitons; Matrix Theory and Algorithms; Coding theory and cryptography