Nonlinear Soliton Structures in Magnetohydrodynamic Flow Between Porous Plates

Abstract This study examines the effects of a laminar, incompressible, two-dimensional magnetohydrodynamic (MHD) flow subjected to a magnetic field between two orthogonally moving porous plates. By applying a similarity transformation, the governing equations are reduced to a nonlinear ordinary differential equation. We have derived an analytical solution using the generalized Riccati equation mapping method. This work investigates the effect of wall growth ratio $$\Psi$$ on soliton solutions of velocity profiles in an MHD flow between rotating porous discs using the generalized Riccati equation mapping method.