Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations

We develop an alternative approach to study the effect of the generic perturbation (in addition to explicitly considering the loss term) in the nonlinear Klein–Gordon equations. By a change of the variables that cancel the dissipation term we are able to write the Lagrangian density and then, calcul...

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Detalles Bibliográficos
Autores: Quintero, Niurka R., Zamora-Sillero, Elías
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2004
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/42716
Acceso en línea:http://hdl.handle.net/11441/42716
https://doi.org/10.1016/j.physd.2004.06.007
Access Level:acceso abierto
Palabra clave:Collective coordinates
Solitary waves
Perturbed Nonlinear Klein-Gordon equations
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spelling Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon EquationsQuintero, Niurka R.Zamora-Sillero, ElíasCollective coordinatesSolitary wavesPerturbed Nonlinear Klein-Gordon equationsWe develop an alternative approach to study the effect of the generic perturbation (in addition to explicitly considering the loss term) in the nonlinear Klein–Gordon equations. By a change of the variables that cancel the dissipation term we are able to write the Lagrangian density and then, calculate the Lagrangian as a function of collective variables. We use the Lagrangian formalism together with the Rice Ansatz to derive the equations of motion of the collective coordinates (CCs) for the perturbed sine-Gordon (sG) and φ4 systems. For the N collective coordinates, regardless of the Ansatz used, we show that, for the nonlinear Klein–Gordon equations, this approach is equivalent to the Generalized Traveling Wave Ansatz (GTWA).Ministerio de Ciencia y Tecnología BFM2001-3878-C02Junta de Andalucía FQM-0207ElsevierFísica Aplicada IMinisterio de Ciencia y Tecnología (MCYT). EspañaJunta de Andalucía2004info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/42716https://doi.org/10.1016/j.physd.2004.06.007reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésPhysica D, 197, 1-9.https://doi.org/10.1016/j.physd.2004.06.007info:eu-repo/semantics/openAccessoai:idus.us.es:11441/427162026-06-17T12:51:07Z
dc.title.none.fl_str_mv Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations
title Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations
spellingShingle Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations
Quintero, Niurka R.
Collective coordinates
Solitary waves
Perturbed Nonlinear Klein-Gordon equations
title_short Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations
title_full Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations
title_fullStr Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations
title_full_unstemmed Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations
title_sort Lagrangian Formalism in Perturbed Nonlinear Klein-Gordon Equations
dc.creator.none.fl_str_mv Quintero, Niurka R.
Zamora-Sillero, Elías
author Quintero, Niurka R.
author_facet Quintero, Niurka R.
Zamora-Sillero, Elías
author_role author
author2 Zamora-Sillero, Elías
author2_role author
dc.contributor.none.fl_str_mv Física Aplicada I
Ministerio de Ciencia y Tecnología (MCYT). España
Junta de Andalucía
dc.subject.none.fl_str_mv Collective coordinates
Solitary waves
Perturbed Nonlinear Klein-Gordon equations
topic Collective coordinates
Solitary waves
Perturbed Nonlinear Klein-Gordon equations
description We develop an alternative approach to study the effect of the generic perturbation (in addition to explicitly considering the loss term) in the nonlinear Klein–Gordon equations. By a change of the variables that cancel the dissipation term we are able to write the Lagrangian density and then, calculate the Lagrangian as a function of collective variables. We use the Lagrangian formalism together with the Rice Ansatz to derive the equations of motion of the collective coordinates (CCs) for the perturbed sine-Gordon (sG) and φ4 systems. For the N collective coordinates, regardless of the Ansatz used, we show that, for the nonlinear Klein–Gordon equations, this approach is equivalent to the Generalized Traveling Wave Ansatz (GTWA).
publishDate 2004
dc.date.none.fl_str_mv 2004
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/42716
https://doi.org/10.1016/j.physd.2004.06.007
url http://hdl.handle.net/11441/42716
https://doi.org/10.1016/j.physd.2004.06.007
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Physica D, 197, 1-9.
https://doi.org/10.1016/j.physd.2004.06.007
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
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