This study investigates the boundary layer motion of Williamson fluid over an electromagnetic with thermophoretic movement, variable thermal conductivity and viscosity, nonlinear radiation, and ± $\pm $Soret‐Dufour influences. The real prediction of regional movement and temperature‐dependent properties of the non‐Newtonian fluids in real space (three‐dimensional [3D]) becomes imperative due to their numerous industrial, engineering, and biomedical use. This flow motion is induced as a result of the introduced mechanism (Riga plate) capable of controlling a weakly hydromagnetic flow. To actualize the aim of this study, the formulated governing partial differential equations conveying the flow model of Williamson fluid in a 3D sense are transformed to systems of ordinary differential equations (ODEs) via applicable similarity variables. The reduced systems of ODEs are solved numerically by the collocation approach. Therein, the Riga surface is seen preventing the heat source/sink impact on the flow fields, the thermophoretic impact indicates a more accumulation of Williamson fluid particles in the cold region thus resulting in higher fluid concentration. Thermal variability energizes the energy field positively, momentum boundary layer reduction prevails for higher Williamson number while heat source dominates the temperature field and heat sink showcases its ability to enhance the fluid concentration in contrast to the heat source.