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The dynamics of transverse Neel domain wall in a ferromagnetic nanostrip inthe presence of driving field, current and transverse magnetic field isinvestigated by the Landau-Lifshitz-Gilbert(LLG) equation with the adiabaticand non-adiabatic spin-transfer torques both analytically and numerically. Theanalytical expressions for the velocity, width, excitation angle anddisplacement for the domain wall are obtained by using small angleapproximation along with Walkers trial function. The results show that theinitial velocity of the domain wall can be controlled by the adiabaticspin-transfer torque and the saturated velocity can be controlled by thenon-adiabatic spin-transfer torque and driving field. The large increase in thesaturated velocity of the domain wall driven by current and field due to thetransverse magnetic field is identified through the presence of driving field.There is no impact in the saturated velocity of the domain wall driven bycurrent from the transverse magnetic field. For the domain wall driven by thecurrent in the presence of the transverse magnetic field, the saturatedvelocity remains constant. The transverse magnetic field along with current anddriving field is more advantageous that the transverse magnetic field alongwith current for increasing the saturated velocity of the domain wall. Thenumerical results showed that the saturated velocity is increased by thetransverse magnetic field with the irrespective of the directions of thedriving field and current further it is higher and lower when the directions ofdriving field and current are antiparallel and parallel respectively. Theobtained analytical solutions are closely coincided with the computed numericalresults.

Dynamics of Current and Field Driven Domain Wall Motion under the Influence of Transverse Magnetic Field