Structure and properties of four-kink multisolitons of the sine-Gordon equation

A. M. Gumerov   ; E. G. Ekomasov   ; F. K. Zakir'yanov   ; R. V. Kudryavtsev

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 3, pp. 481-495

Résumé

The dynamics of nonlinear waves of the sine-Gordon equation with a spatially modulated periodic potential are studied using analytical and numerical methods. The structure and properties of four-kink multisolitons excited on two identical attracting impurities are determined. For small-amplitude oscillations, an analytical spectrum of the oscillations is obtained, which is in qualitatively agreement with the numerical results.

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