This study investigates magnetohydrodynamic (MHD) nanofluid flow through a stretching vertical surface influenced by Joule heating, chemical reaction, viscosity dissipation, thermal radiation, and activation energy. Such physical problems have significance in applied mathematics, engineering, and physics, and they are frequently found in symmetrical scenarios. A transformation of the similarity technique is used to reduce the difficulty of the boundary layer equations for nonlinear motion, energy, solute, and nanoparticle concentration. To identify these variations with local similarity, we employ symmetry analysis. The altered equations were solved using the shooting technique with Matlab bvp4c. It was found that raising the Schmidt number increases the impact of temperature and concentration profiles. As the Biot number and thermal radiation rise, the local Nusselt number, local Sherwood number, and skin friction increase as well. The comparative table shows good agreement with the current results.