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Kink stability, propagation, and length-scale competition in the periodically modulated sine-Gordon equation

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorSánchez, Angel
dc.contributor.authorBishop, Alan R.
dc.contributor.authorDomínguez-Adame, Francisco
dc.date.accessioned2012-08-02T10:45:43Z
dc.date.available2012-08-02T10:45:43Z
dc.date.issued1994-05
dc.description.abstractWe have examined the dynamical behavior of the kink solutions of the one-dimensional sineGordon equation in the presence of a spatially periodic parametric perturbation. Our study clarifies and extends the currently available knowledge on this and related nonlinear problems in four directions. First, we present the results of a numerical simulation program that are not compatible with the existence of a radiative threshold predicted by earlier calculations. Second, we carry out a perturbative calculation that helps interpr~t those previous predictions, enabling us to understand in depth our numerical results. Third, we apply the collective coordinate formalism to this system and demonstrate numerically that it reproduces accurately the observed kink dynamics. Fourth, we report on the occurrence of length-scale competition in this system and show how it can be understood by means of linear stability analysis. Finally, we conclude by summarizing the general physical framework that arises from our study.es
dc.description.sponsorshipA.S. is supported by the Ministerio de Educaci6n y Ciencia (Spain) and the Fulbright Fund, by Direcci6n General de Investigaci6n Cientffica y Tecnica (Spain) through Project No. PB92-0378, and by the European Union (Network on Nonlinear Spatio-Temporal Structures in Semiconductor, Fluids, and Oscillator Ensembles). He also thanks the Los Alamos National Laboratory for warm hospitality and a productive atmosphere. Work at Los Alamos is performed under the auspices of the U.S. Department of Energy.es
dc.description.statusPublicadoes
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical Review E, vol. 49, n. 5, may 1994. Pp. 4603–4615es
dc.identifier.doi10.1103/PhysRevE.49.4603
dc.identifier.issn1539-3755 (print version)
dc.identifier.issn1550-2376 (online version)
dc.identifier.urihttps://hdl.handle.net/10016/15103
dc.language.isoenges
dc.publisherAmerican Physical Societyes
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevE.49.4603
dc.rights.accessRightsopen accesses
dc.subject.ecienciaMatemáticases
dc.titleKink stability, propagation, and length-scale competition in the periodically modulated sine-Gordon equationes
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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