Magnetic rogue wave in a perpendicular anisotropic ferromagnetic nanowire with spin-transfer torque

► We get the current controlled motion of a dynamic soliton embedded in spin wave background. ► We get the novel magnetic rogue wave and clarify its formation mechanism. ► The generation of magnetic rogue wave arises from the accumulation of energy and magnons. ► The spin-polarized current controls exchange rate of magnons between the envelope soliton and the background. ► The spin-transfer torque plays the completely opposite role below and above the critical value.