Rashba spin-orbit coupling effects on a current-induced domain wall motion

► Effects of Rashba spin-orbit coupling on a domain wall motion is calculated. ► The effects depend highly on the anisotropy of a magnetic system. ► It modifies the wall velocity for the system with a perpendicular magnetic anisotropy. ► The modified velocity can be along the current direction in certain situations. ► Rashba spin-orbit coupling also hinders the onset of the Walker breakdown.