Dynamical equations of almost flat domain walls in a uniaxial magnetic bubble film

It is shown that application of asymptotic methods to the system of Landau–Lifshitz and magnetostatic equations for magnetic bubble films (uniaxial ferromagnetic films with large perpendicular anisotropy and negligibly small coercivity) leads in the special case of almost flat domain walls to Slonczewski's equations with correct allowance for the demagnetizing fields.