Motion of compactonlike kinks.
We analyze the ability of a compactonlike kink (i.e., kink with compact support) to execute a stable ballistic propagation in a discrete Klein-Gordon system with anharmonic coupling. We demonstrate that the effects of lattice discreteness, and the presence of a linear coupling between lattice sites, are detrimental to a stable ballistic propagation of the compacton, because of the particular structure of the small-oscillation frequency spectrum of the compacton in which the lower-frequency internal modes enter in direct resonance with phonon modes. Our study reveals the parameter regions for obtaining a stable ballistic propagation of a compactonlike kink. Finally we investigate the interactions between compactonlike kinks.
Tchofo Dinda
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Laboratoire de Physique, Université de Bourgogne, 9 Avenue Alain Savary, Boîk Postale 47870, 21078 Dijon, France.
Kofane
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Remoissenet
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