Scaling laws for breathing frequencies of solitary modes in the Zakharov equations

Detalhes bibliográficos
Autor(a) principal: Oliveira, Glaucius Iahnke de
Data de Publicação: 2002
Outros Autores: Rizzato, Felipe Barbedo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/101348
Resumo: We analyze typical time scales resulting from the coupled dynamics of high- and low-frequency wave components in solitary solutions of the Zakharov equations. Linear stability analysis around the solitary modes suggests that adiabatic regimes may be obtained in the limit of high- and low-field intensities where the disparity of eigenfrequencies is large. Full simulations, however, reveal that adiabaticity arising from oscillatory motion can in fact be observed only over relatively short periods of time prior to noticeable radiation emission.
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spelling Oliveira, Glaucius Iahnke deRizzato, Felipe Barbedo2014-08-19T02:10:22Z20021539-3755http://hdl.handle.net/10183/101348000310779We analyze typical time scales resulting from the coupled dynamics of high- and low-frequency wave components in solitary solutions of the Zakharov equations. Linear stability analysis around the solitary modes suggests that adiabatic regimes may be obtained in the limit of high- and low-field intensities where the disparity of eigenfrequencies is large. Full simulations, however, reveal that adiabaticity arising from oscillatory motion can in fact be observed only over relatively short periods of time prior to noticeable radiation emission.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 65, no. 1 pt. 2 (Jan. 2002), 016604, 7 p.SolitonsEquações de ondasScaling laws for breathing frequencies of solitary modes in the Zakharov equationsEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000310779.pdf000310779.pdfTexto completo (inglês)application/pdf106544http://www.lume.ufrgs.br/bitstream/10183/101348/1/000310779.pdf7f09dcaf4d1325c855a44a1af12ee543MD51TEXT000310779.pdf.txt000310779.pdf.txtExtracted Texttext/plain23143http://www.lume.ufrgs.br/bitstream/10183/101348/2/000310779.pdf.txtf5785720dd14a636eb8795f27a94a204MD52THUMBNAIL000310779.pdf.jpg000310779.pdf.jpgGenerated Thumbnailimage/jpeg2022http://www.lume.ufrgs.br/bitstream/10183/101348/3/000310779.pdf.jpgf6d4b54c480122966d5c548065befed8MD5310183/1013482023-08-31 03:34:12.209166oai:www.lume.ufrgs.br:10183/101348Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-08-31T06:34:12Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Scaling laws for breathing frequencies of solitary modes in the Zakharov equations
title Scaling laws for breathing frequencies of solitary modes in the Zakharov equations
spellingShingle Scaling laws for breathing frequencies of solitary modes in the Zakharov equations
Oliveira, Glaucius Iahnke de
Solitons
Equações de ondas
title_short Scaling laws for breathing frequencies of solitary modes in the Zakharov equations
title_full Scaling laws for breathing frequencies of solitary modes in the Zakharov equations
title_fullStr Scaling laws for breathing frequencies of solitary modes in the Zakharov equations
title_full_unstemmed Scaling laws for breathing frequencies of solitary modes in the Zakharov equations
title_sort Scaling laws for breathing frequencies of solitary modes in the Zakharov equations
author Oliveira, Glaucius Iahnke de
author_facet Oliveira, Glaucius Iahnke de
Rizzato, Felipe Barbedo
author_role author
author2 Rizzato, Felipe Barbedo
author2_role author
dc.contributor.author.fl_str_mv Oliveira, Glaucius Iahnke de
Rizzato, Felipe Barbedo
dc.subject.por.fl_str_mv Solitons
Equações de ondas
topic Solitons
Equações de ondas
description We analyze typical time scales resulting from the coupled dynamics of high- and low-frequency wave components in solitary solutions of the Zakharov equations. Linear stability analysis around the solitary modes suggests that adiabatic regimes may be obtained in the limit of high- and low-field intensities where the disparity of eigenfrequencies is large. Full simulations, however, reveal that adiabaticity arising from oscillatory motion can in fact be observed only over relatively short periods of time prior to noticeable radiation emission.
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 65, no. 1 pt. 2 (Jan. 2002), 016604, 7 p.
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