ISSN:
1434-6079
Keywords:
PACS. 63.10.+a General theory - 05.45.-a Nonlinear dynamics and nonlinear dynamical systems - 05.45.Yv Solitons
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: We study a class of one-dimensional nonlinear lattices with nearest-neighbour interactions described by a potential of the binomial type. This potential contains a free parameter which can be chosen to reproduce a variety of models, such as the Toda, the Fermi-Pasta-Ulam and the Coulomb-like lattices. Carrying out essentially numerical experiments, the effects of soliton propagation on a lattice with defects are investigated. In particular, the properties of the localized mode, generated by the propagation of the soliton through the defect, are discussed with respect to the defect mass and the potential parameter, in the light of a simple theoretical model. Furthermore, an interesting phenomenon is observed: the amplitude of the speed of the mass defect shows a sequel of resonance peaks in terms of the mass defect. The positions of these peaks appear to be independent of the potential parameter.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s100530070059
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