2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210269One of the most important topics in geophysics is to study convection in a sea. Based on the algebraic characteristics of the equations of dynamic convection in a sea, we introduce various schemes with multiple parameter functions to solve these equations and obtain families of new explicit exact solutions with multiple parameter functions. Moreover, symmetry transformations are used to simplify our arguments.13pageMathematical PhysicsAnalysis of PDEsExactly Solvable and Integrable SystemsFluid DynamicsGeophysics35Q35, 35C05text