Existence and analyticity of lump solutions for generalized benney-luke equations

We prove the existence and analyticity of lump solutions (finiteenergy solitary waves) for generalized Benney-Luke equations that arise in the study of the evolution of small amplitude, three-dimensional water waves. The family of generalized Benney-Luke equations reduce formally to the generalized...

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Autores:
Quintero, José Raúl
Tipo de recurso:
Article of journal
Fecha de publicación:
2002
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43807
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43807
http://bdigital.unal.edu.co/33905/
Palabra clave:
Weakly nonlinear waves
travelling waves
concentrationcompactness
analyticity
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Quintero, José Raúl6c8d87a3-ef8e-4b2b-ba1c-1ab57f7519613002019-06-28T12:29:24Z2019-06-28T12:29:24Z2002https://repositorio.unal.edu.co/handle/unal/43807http://bdigital.unal.edu.co/33905/We prove the existence and analyticity of lump solutions (finiteenergy solitary waves) for generalized Benney-Luke equations that arise in the study of the evolution of small amplitude, three-dimensional water waves. The family of generalized Benney-Luke equations reduce formally to the generalized Korteweg-de Vries (GKdV) equation and to the generalized Kadomtsev Petviashvili (GKP-I or GKP-II) equation in the appropriate limits. Existence lumps is proved via the concentration-compactness method. When surface tensión is sufficiently strong (Bond number larger thanlj3), we prove that a suitable family of generalized Benney-Luke lump solutions converges to a nontrivial lump solution for the GKP-I equation.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33866Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 36, núm. 2 (2002); 71-95 0034-7426Quintero, José Raúl (2002) Existence and analyticity of lump solutions for generalized benney-luke equations. Revista Colombiana de Matemáticas; Vol. 36, núm. 2 (2002); 71-95 0034-7426 .Existence and analyticity of lump solutions for generalized benney-luke equationsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTWeakly nonlinear wavestravelling wavesconcentrationcompactnessanalyticityORIGINAL33866-128102-1-PB.pdfapplication/pdf8481917https://repositorio.unal.edu.co/bitstream/unal/43807/1/33866-128102-1-PB.pdf87a16f354aec96ef7532483e69b7cdc1MD51THUMBNAIL33866-128102-1-PB.pdf.jpg33866-128102-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6526https://repositorio.unal.edu.co/bitstream/unal/43807/2/33866-128102-1-PB.pdf.jpg866665bc3ab71fcd3a9f79f960b28dd0MD52unal/43807oai:repositorio.unal.edu.co:unal/438072023-02-14 23:05:41.822Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Existence and analyticity of lump solutions for generalized benney-luke equations
title Existence and analyticity of lump solutions for generalized benney-luke equations
spellingShingle Existence and analyticity of lump solutions for generalized benney-luke equations
Weakly nonlinear waves
travelling waves
concentrationcompactness
analyticity
title_short Existence and analyticity of lump solutions for generalized benney-luke equations
title_full Existence and analyticity of lump solutions for generalized benney-luke equations
title_fullStr Existence and analyticity of lump solutions for generalized benney-luke equations
title_full_unstemmed Existence and analyticity of lump solutions for generalized benney-luke equations
title_sort Existence and analyticity of lump solutions for generalized benney-luke equations
dc.creator.fl_str_mv Quintero, José Raúl
dc.contributor.author.spa.fl_str_mv Quintero, José Raúl
dc.subject.proposal.spa.fl_str_mv Weakly nonlinear waves
travelling waves
concentrationcompactness
analyticity
topic Weakly nonlinear waves
travelling waves
concentrationcompactness
analyticity
description We prove the existence and analyticity of lump solutions (finiteenergy solitary waves) for generalized Benney-Luke equations that arise in the study of the evolution of small amplitude, three-dimensional water waves. The family of generalized Benney-Luke equations reduce formally to the generalized Korteweg-de Vries (GKdV) equation and to the generalized Kadomtsev Petviashvili (GKP-I or GKP-II) equation in the appropriate limits. Existence lumps is proved via the concentration-compactness method. When surface tensión is sufficiently strong (Bond number larger thanlj3), we prove that a suitable family of generalized Benney-Luke lump solutions converges to a nontrivial lump solution for the GKP-I equation.
publishDate 2002
dc.date.issued.spa.fl_str_mv 2002
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:29:24Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:29:24Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/43807
http://bdigital.unal.edu.co/33905/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33866
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 36, núm. 2 (2002); 71-95 0034-7426
dc.relation.references.spa.fl_str_mv Quintero, José Raúl (2002) Existence and analyticity of lump solutions for generalized benney-luke equations. Revista Colombiana de Matemáticas; Vol. 36, núm. 2 (2002); 71-95 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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