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dc.contributor.authorKraenkel, Roberto André-
dc.contributor.authorManna, M. A.-
dc.contributor.authorMerle, V.-
dc.contributor.authorMontero, J. C.-
dc.contributor.authorPereira, J. G.-
dc.identifier.citationPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 54, n. 3, p. 2976-2981, 1996.-
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.titleMultiple-time higher-order perturbation analysis of the regularized long-wavelength equationen
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.contributor.institutionUniversité de Montpellier II-
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.rights.accessRightsAcesso restrito-
dc.relation.ispartofPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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