Multiple-time higher-order perturbation analysis of the regularized long-wavelength equation

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dc.contributor.authorKraenkel, Roberto André [UNESP]
dc.contributor.authorManna, M. A.
dc.contributor.authorMerle, V.
dc.contributor.authorMontero, J. C. [UNESP]
dc.contributor.authorPereira, J. G. [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversité de Montpellier II
dc.date.accessioned2014-05-27T11:18:08Z
dc.date.available2014-05-27T11:18:08Z
dc.date.issued1996-12-01
dc.description.abstractBy considering the long-wavelength limit of the regularized long wave (RLW) equation, we study its multiple-time higher-order evolution equations. As a first result, the equations of the Korteweg-de Vries hierarchy are shown to play a crucial role in providing a secularity-free perturbation theory in the specific case of a solitary-wave solution. Then, as a consequence, we show that the related perturbative series can be summed and gives exactly the solitary-wave solution of the RLW equation. Finally, some comments and considerations are made on the N-soliton solution, as well as on the limitations of applicability of the multiple-scale method in obtaining uniform perturbative series.en
dc.description.affiliationInst. de Fis. Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo
dc.description.affiliationPhys. Math. et Théorique URA-CNRS 768 Université de Montpellier II, 34095 Montpellier Cedex 05
dc.description.affiliationUnespInst. de Fis. Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São Paulo
dc.format.extent2976-2981
dc.identifierhttp://dx.doi.org/10.1103/PhysRevE.54.2976
dc.identifier.citationPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 54, n. 3, p. 2976-2981, 1996.
dc.identifier.doi10.1103/PhysRevE.54.2976
dc.identifier.file2-s2.0-0242344690.pdf
dc.identifier.issn1063-651X
dc.identifier.lattes1599966126072450
dc.identifier.scopus2-s2.0-0242344690
dc.identifier.urihttp://hdl.handle.net/11449/64912
dc.identifier.wosWOS:A1996VK26500106
dc.language.isoeng
dc.relation.ispartofPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
dc.rights.accessRightsAcesso restrito
dc.sourceScopus
dc.titleMultiple-time higher-order perturbation analysis of the regularized long-wavelength equationen
dc.typeArtigo
dcterms.licensehttp://publish.aps.org/authors/transfer-of-copyright-agreement
unesp.author.lattes1599966126072450
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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