Vladimir Nazarov
Publications:
Ekomasov E. G., Nazarov V. N., Samsonov K. Y.
Changing the Dynamic Parameters of Localized Breather and Soliton Waves in the SineGordon Model with Extended Impurity, External Force, and Decay in the Autoresonance Mode
2022, Vol. 18, no. 2, pp. 217229
Abstract
Possibility of changing the dynamic parameters of localized breather and soliton waves for
the sineGordon equation in the model with extended impurity, variable external force and dissipation
was investigated using the autoresonance method. The model of ferromagnetic structure
consisting of two wide identical layers separated by a thin layer with modified values of magnetic
anisotropy parameter was taken as a basis. Frequency of external field is a linear function of time.
The sineGordon equation (SGE) was solved numerically using the finite differences method with
explicit scheme of integration. For certain values of the extended impurity parameters a magnetic
inhomogeneity in the form of magnetic breather is formed when domain wall passes through it
with constant velocity. The numerical simulation showed that using special variable force and
small amplitude it is possible to resonantly increase the amplitude of breather. For each case
of the impurity parameters values, there is a threshold value of the magnetic field amplitude
leading to resonance. Geometric parameters of thin layer also have influence on the resonance
effect — for decreasing layer width the breather amplitude grows more slowly. For large layer
width the translation mode of breather oscillations is also excited. For certain parameters of
extended impurity, a soliton can form. For a special type of variable field with frequency linearly
dependent on time, soliton is switched to antisoliton and vice versa.
