Long-wave and short-wave asymptotics in nonlinear dispersive systems

Detalhes bibliográficos
Autor(a) principal: Kraenkel, Roberto André [UNESP]
Data de Publicação: 1999
Outros Autores: Manna, M. A., Merle, V.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
DOI: 10.1103/PhysRevE.60.2418
Texto Completo: http://dx.doi.org/10.1103/PhysRevE.60.2418
http://hdl.handle.net/11449/65945
Resumo: In this paper we study the interplay between short- and long-space scales in the context of conservative dispersive systems. We consider model systems in (1 + 1) dimensions that admit both long- and short-wavelength solutions in the linear regime. A nonlinear analysis of these systems is constructed, making use of multiscale expansions. We show that the equations governing the lowest order involve only short-wave properties and that the long-wave effects to leading order are determined by a secularity elimination procedure. © 1999 The American Physical Society.
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spelling Long-wave and short-wave asymptotics in nonlinear dispersive systemsIn this paper we study the interplay between short- and long-space scales in the context of conservative dispersive systems. We consider model systems in (1 + 1) dimensions that admit both long- and short-wavelength solutions in the linear regime. A nonlinear analysis of these systems is constructed, making use of multiscale expansions. We show that the equations governing the lowest order involve only short-wave properties and that the long-wave effects to leading order are determined by a secularity elimination procedure. © 1999 The American Physical Society.Inst. de Fis. Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São PauloPhys.-Theor. et Mathématique CNRS - UM2, 34095 MontpellierInst. de Fis. Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900 São PauloUniversidade Estadual Paulista (Unesp)CNRS - UM2Kraenkel, Roberto André [UNESP]Manna, M. A.Merle, V.2014-05-27T11:19:49Z2014-05-27T11:19:49Z1999-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2418-2420application/pdfhttp://dx.doi.org/10.1103/PhysRevE.60.2418Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 60, n. 2 B, p. 2418-2420, 1999.1063-651Xhttp://hdl.handle.net/11449/6594510.1103/PhysRevE.60.2418WOS:0000822351000972-s2.0-180443891972-s2.0-18044389197.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topicsinfo:eu-repo/semantics/openAccess2024-01-28T06:48:39Zoai:repositorio.unesp.br:11449/65945Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-06T00:08:46.472912Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Long-wave and short-wave asymptotics in nonlinear dispersive systems
title Long-wave and short-wave asymptotics in nonlinear dispersive systems
spellingShingle Long-wave and short-wave asymptotics in nonlinear dispersive systems
Long-wave and short-wave asymptotics in nonlinear dispersive systems
Kraenkel, Roberto André [UNESP]
Kraenkel, Roberto André [UNESP]
title_short Long-wave and short-wave asymptotics in nonlinear dispersive systems
title_full Long-wave and short-wave asymptotics in nonlinear dispersive systems
title_fullStr Long-wave and short-wave asymptotics in nonlinear dispersive systems
Long-wave and short-wave asymptotics in nonlinear dispersive systems
title_full_unstemmed Long-wave and short-wave asymptotics in nonlinear dispersive systems
Long-wave and short-wave asymptotics in nonlinear dispersive systems
title_sort Long-wave and short-wave asymptotics in nonlinear dispersive systems
author Kraenkel, Roberto André [UNESP]
author_facet Kraenkel, Roberto André [UNESP]
Kraenkel, Roberto André [UNESP]
Manna, M. A.
Merle, V.
Manna, M. A.
Merle, V.
author_role author
author2 Manna, M. A.
Merle, V.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
CNRS - UM2
dc.contributor.author.fl_str_mv Kraenkel, Roberto André [UNESP]
Manna, M. A.
Merle, V.
description In this paper we study the interplay between short- and long-space scales in the context of conservative dispersive systems. We consider model systems in (1 + 1) dimensions that admit both long- and short-wavelength solutions in the linear regime. A nonlinear analysis of these systems is constructed, making use of multiscale expansions. We show that the equations governing the lowest order involve only short-wave properties and that the long-wave effects to leading order are determined by a secularity elimination procedure. © 1999 The American Physical Society.
publishDate 1999
dc.date.none.fl_str_mv 1999-12-01
2014-05-27T11:19:49Z
2014-05-27T11:19:49Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1103/PhysRevE.60.2418
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 60, n. 2 B, p. 2418-2420, 1999.
1063-651X
http://hdl.handle.net/11449/65945
10.1103/PhysRevE.60.2418
WOS:000082235100097
2-s2.0-18044389197
2-s2.0-18044389197.pdf
url http://dx.doi.org/10.1103/PhysRevE.60.2418
http://hdl.handle.net/11449/65945
identifier_str_mv Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 60, n. 2 B, p. 2418-2420, 1999.
1063-651X
10.1103/PhysRevE.60.2418
WOS:000082235100097
2-s2.0-18044389197
2-s2.0-18044389197.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 2418-2420
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1822228702257217536
dc.identifier.doi.none.fl_str_mv 10.1103/PhysRevE.60.2418

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