This attempt featuring the Brownian movement and thermophoretic aspects in two-dimension through non-linearly stretchable surface. Disturbance to the flow is produced by transverse applied magnetic field. Flow governing system is transformed into non-linear system of ODE's via suitable transformation. Due to appearance of highly nonlinear terms, series solution is carried out via well-known method known as Homotopy Analysis Method (HAM) which easily tackles the non-linear system of ODE's. The finding indicates the sheet (shapes) depend on the value of parameter n and observed that in case of non-linear stretching, velocity decreases while temperature rises for larger values of n. This is because the liquid has stronger thermal conductivity. The effects of various intensity parameters are studied graphically and compared numerically. (C) 2018 Published by Elsevier Ltd.