Bn. Filippov et al., Nonlinear dynamics of vortexlike domain walls in magnetic films with in-plane anisotropy - art. no. 104412, PHYS REV B, 6410(10), 2001, pp. 4412
The nonlinear nonstationary dynamics of domain walls with variable two-dime
nsional internal structure (topological solitons with internal degrees of f
reedom) under the action of an external magnetic field was investigated in
magnetic films having an in-plane anisotropy and a small damping coefficien
t alpha. The iteration calculation procedure of the temporal evolution of t
he magnetization distribution is based on the predictor-corrector method fo
r direct numerical solution to the Landau-Lifshitz equations. The variable
time step procedure was employed. It is shown that along with the periodic
change of the internal structure of a wall occurring with a certain period
T there also appear the subperiodic vibrations of some parts of the walls r
elative to the other parts which results in the high-frequency oscillations
(similar or equal to 10(11) Hz) of the velocity of a domain wall in the fi
elds above some critical field H-c at a small damping. The dependence of th
e period of dynamic rearrangement of the internal structure of the walls on
the external magnetic field and damping was studied. The singular dependen
ce of T on H is established to be different from the (H-2/H-c(2)-1)(-1/2) l
aw which is typical of one-dimensional models of a wall. The dependence of
H-c on zeta is evaluated and appears to differ substantially from that of t
he one-dimensional models.