Interference effects in soliton scattering by impurities

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Show simple item record Kivshar, Yuri S. Sánchez, Angel Chubykalo, Oksana Kosevich, Arnold M. Vázquez, Luis 2012-08-02T09:12:43Z 2012-08-02T09:12:43Z 1992-11-07
dc.identifier.bibliographicCitation Journal of Physics A: Mathematical and General, vol. 25, n. 21, 7 nov. 1992. Pp. 5711–5728
dc.identifier.issn 1751-8113 (print version)
dc.identifier.issn 1751-8121 (online version)
dc.description.abstract We present a comprehensive study ofthe effects of inhomogeneities on nonlinear excitation dynamics in different one-dimensional soliton-bearing systems. We theoretically analyse soliton scattering by one and two point-like impurities in the framework of the perturbed sine-Gordon, nonlinear Schrödinger and Korteweg equations, and predict that interference effects arise in the form of an oscillatory dependence ofthe soliton reflection coefficient on the distance between impurities. The main fanor responsible for this behaviour is the spectral density of the soliton radiation: the values of that distance which are integer multiples of the main wavelength radiated by the soliton upon collision with the inhomogeneities give rise to resonant scattering, with very link reflection. Our approximate analytical predictions explain previous numerical results concerning nonlinear lattices, and are further supported by new simulations that we have performed on.thc sine-Gordon system
dc.description.sponsorship This work has been supported in part by the Comisi6n Interministerial de Ciencia y Tecnologia (CICyT) of Spain, through project MADO-0544. The stay of Yu S Kivshar in Madrid has been supported by the Universidad Complutense de Madrid through the Programa de Sabiticos Complutense, and he is also indebted to the Alexander von Humboldt-Stiftung for financial support through a research fellowship.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher Institute of Physics
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.title Interference effects in soliton scattering by impurities
dc.type article
dc.description.status Publicado
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1088/0305-4470/25/21/025
dc.rights.accessRights openAccess
dc.type.version acceptedVersion
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