6533b7dbfe1ef96bd1270c40
RESEARCH PRODUCT
Motion of compactonlike kinks.
M. RemoissenetP. Tchofo DindaTimoleon Crepin Kofanesubject
PhysicsPartial differential equationCondensed matter physicsWave propagationPhononLattice (order)Quantum mechanicsAnharmonicityCompactonNonlinear Sciences::Pattern Formation and SolitonsFrequency spectrumLinear couplingdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-12-01 | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |