主题词：Nonlinear Partial Differential Equations; Advanced Mathematical Modeling in Engineering; Algebraic Geometry and Number Theory; Advanced Mathematical Physics Problems; Geometric Analysis and Curvature Flows; Numerical methods in inverse problems; Stability and Controllability of Differential Equations; Spectral Theory in Mathematical Physics; Advanced Algebra and Geometry; Geometry and complex manifolds; Nonlinear Differential Equations Analysis; Advanced Harmonic Analysis Research; Differential Equations and Boundary Problems; Differential Equations and Numerical Methods; advanced mathematical theories; Nonlinear Waves and Solitons; Algebraic structures and combinatorial models; Advanced Topics in Algebra; Mathematical Analysis and Transform Methods; Algebraic and Geometric Analysis; Geometric and Algebraic Topology; Homotopy and Cohomology in Algebraic Topology; Navier-Stokes equation solutions; Polynomial and algebraic computation; Finite Group Theory Research