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Using the finite domain remnant of the continuous spectrum to examine integrability: Effect of boundary conditions

 

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dc.creator Quintero, Niurka R.
dc.creator Kevrekidis, Panayotis G.
dc.date.accessioned 2015-04-07T11:45:36Z
dc.date.available 2015-04-07T11:45:36Z
dc.date.issued 2003
dc.identifier.citation Quintero, N.R. y Kevrekidis, P.G. (2003). Using the finite domain remnant of the continuous spectrum to examine integrability: Effect of boundary conditions. Physical Review E, 68 (3), 036612-1-7. es
dc.identifier.issn 1539-3755 es
dc.identifier.issn 1550-2376 es
dc.identifier.uri http://hdl.handle.net/11441/23620
dc.description.abstract The aim of this work is to propose a method for testing the integrability of a model partial differential (PDE) and/or differential difference equation (DDE), by examining it in a finite but large domain. For monoparametric families of PDE/DDE’s, that are known to possess isolated integrable points, we find that very special features occur in the finite domain remnant of the continuous (“phonon”) spectrum at these “singular” points. We identify these features in the case example of a PDE and a DDE (that sustain front and pulselike solutions, respectively) for different types of boundary conditions. The key finding of the work is that such spectral features are generic near the singular, integrable points and hence we propose to explore a given PDE/DDE in a finite but large domain for such traits, as a means of assessing its potential integrability. es
dc.description.sponsorship Ministerio de Ciencia y Tecnología (Spain) through Grant No. BFM2001-3878-C02 es
dc.description.sponsorship Junta de Andalucıa Project No. FQM-0207 es
dc.format application/pdf es
dc.language.iso eng es
dc.relation.ispartof Physical Review E, 2003, 68(3), 036612: 1-7 es
dc.rights Attribution-NonCommercial-NoDerivatives 4.0 Internacional *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ *
dc.title Using the finite domain remnant of the continuous spectrum to examine integrability: Effect of boundary conditions es
dc.type info:eu-repo/semantics/article es
dc.rights.accessrights info:eu-repo/semantics/openAccess es
dc.contributor.affiliation Universidad de Sevilla. Departamento de Física Aplicada I es
dc.relation.publisherversion http://journals.aps.org/pre/abstract/10.1103/PhysRevE.68.036612 es
dc.relation.publisherversion http://dx.doi.org/10.1103/PhysRevE.68.036612
dc.identifier.doi 10.1103/PhysRevE.68.036612
dc.journaltitle Physical Review E es
dc.publication.volumen 68 es
dc.publication.issue 3 es
dc.publication.initialPage 036612-1 es
dc.publication.endPage 7 es
dc.identifier.idus https://idus.us.es/xmlui/handle/11441/23620
dc.contributor.funder Ministerio de Ciencia y Tecnología (MCYT). España
dc.contributor.funder Junta de Andalucía
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