Excitation of nonlinear solitary flexural waves in a moving domain wall

Solitary deflection waves on the supersonic domain wall in yttrium orthoferrite

“…Ekomasov continues the theoretical studies of the dynamics of domain walls with a fine structure. The appearance of the pair of the solitary deflection waves on the dynamic domain wall was found at the theoretical study of the interaction of the dynamical DW with a local defect [9]. The results of the numerical simulation agree qualitatively with the experimental data and allow to estimate the ratio of the DW velocity and the SDW velocity along it.…”

Interaction of sine‐Gordon solitons in the model with attracting impurities

“…Two-dimensional SGE has been also studied for a long time with the use of analytical methods [28][29][30][31][32] and with the help of numerical methods [18,28,33]. For example, in the works [18,34] the appearance and motion of flexural solitary waves on the kink interacting with a two-dimensional impurity has been investigated. However, the possibility of excitation of various two-dimensional vibrational modes localized on the impurity was not discussed in those works.…”

Excitation of high-amplitude localized nonlinear waves as a result of interaction of kink with attractive impurity in sine-Gordon equation

“…Two-dimensional SGE has been also studied for a long time with the use of analytical methods [27][28][29] and with the help of numerical methods [18,27,30]. For example, in the works [18,31] the appearance and motion of flexural solitary waves on the kink interacting with a two-dimensional impurity has been investigated. However, the possibility of excitation of various two-dimensional vibrational modes localized on the impurity was not discussed in those works.…”