ABSTRACT
Abstract ................................................................................................. 176 17.1 Introduction ................................................................................ 176 17.2 Interaction of the Kink and Magnetic Impurities ....................... 179 17.3 Exciting Multisolitons on Impurities ......................................... 183 17.4 Conclusion ................................................................................. 186 Keywords .............................................................................................. 186 References ............................................................................................. 187
ABSTRACT
The kink dynamics of the sine-Gordon equation is studied in the model of the localized spatial modulation of the periodic potential. A case of two identical areas (or impurities) of the spatial modulation of the periodic potential is considered. It is shown that observing the collective effects of impurity influence is possible and depends on the distance between the impurities. A definite critical value of impurity distances causing two quite different ways of the dynamic kink behavior is demonstrated. The structure and properties of three-kink solutions of the sine-Gordon equation in the impurity area are studied.
