On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1140/epjb/e2016-70420-0 http://hdl.handle.net/11449/162038 |
Resumo: | We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients, namely diffraction, nonlinearity and gain parameters through similarity transformation technique. We transform the two-dimensional two coupled variable coefficients nonlinear Schrodinger equations into Manakov equation with a constraint that connects diffraction and gain parameters with nonlinearity parameter. We investigate the characteristics of the constructed vector rogue wave solutions with four different forms of diffraction parameters. We report some interesting patterns that occur in the rogue wave structures. Further, we construct vector dark rogue wave solutions of the two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients and report some novel characteristics that we observe in the vector dark rogue wave solutions. |
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Repositório Institucional da UNESP |
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2946 |
spelling |
On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficientsWe construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients, namely diffraction, nonlinearity and gain parameters through similarity transformation technique. We transform the two-dimensional two coupled variable coefficients nonlinear Schrodinger equations into Manakov equation with a constraint that connects diffraction and gain parameters with nonlinearity parameter. We investigate the characteristics of the constructed vector rogue wave solutions with four different forms of diffraction parameters. We report some interesting patterns that occur in the rogue wave structures. Further, we construct vector dark rogue wave solutions of the two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients and report some novel characteristics that we observe in the vector dark rogue wave solutions.University Grants Commission (UGC-RFSMS), Government of IndiaNBHM, Government of IndiaBharathidasan Univ, Ctr Nonlinear Dynam, Tiruchchirappalli 620024, Tamil Nadu, IndiaUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, BrazilSpringerBharathidasan UnivUniversidade Estadual Paulista (Unesp)Manikandan, KannanSenthilvelan, MurugaianKraenkel, Roberto Andre [UNESP]2018-11-26T17:06:37Z2018-11-26T17:06:37Z2016-10-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article11application/pdfhttp://dx.doi.org/10.1140/epjb/e2016-70420-0European Physical Journal B. New York: Springer, v. 89, n. 10, 11 p., 2016.1434-6028http://hdl.handle.net/11449/16203810.1140/epjb/e2016-70420-0WOS:000385167400003WOS000385167400003.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEuropean Physical Journal B0,430info:eu-repo/semantics/openAccess2024-01-15T06:18:45Zoai:repositorio.unesp.br:11449/162038Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:00:58.570816Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients |
title |
On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients |
spellingShingle |
On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients Manikandan, Kannan |
title_short |
On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients |
title_full |
On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients |
title_fullStr |
On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients |
title_full_unstemmed |
On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients |
title_sort |
On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients |
author |
Manikandan, Kannan |
author_facet |
Manikandan, Kannan Senthilvelan, Murugaian Kraenkel, Roberto Andre [UNESP] |
author_role |
author |
author2 |
Senthilvelan, Murugaian Kraenkel, Roberto Andre [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Bharathidasan Univ Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Manikandan, Kannan Senthilvelan, Murugaian Kraenkel, Roberto Andre [UNESP] |
description |
We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients, namely diffraction, nonlinearity and gain parameters through similarity transformation technique. We transform the two-dimensional two coupled variable coefficients nonlinear Schrodinger equations into Manakov equation with a constraint that connects diffraction and gain parameters with nonlinearity parameter. We investigate the characteristics of the constructed vector rogue wave solutions with four different forms of diffraction parameters. We report some interesting patterns that occur in the rogue wave structures. Further, we construct vector dark rogue wave solutions of the two-dimensional two coupled nonlinear Schrodinger equations with distributed coefficients and report some novel characteristics that we observe in the vector dark rogue wave solutions. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-10-05 2018-11-26T17:06:37Z 2018-11-26T17:06:37Z |
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/10.1140/epjb/e2016-70420-0 European Physical Journal B. New York: Springer, v. 89, n. 10, 11 p., 2016. 1434-6028 http://hdl.handle.net/11449/162038 10.1140/epjb/e2016-70420-0 WOS:000385167400003 WOS000385167400003.pdf |
url |
http://dx.doi.org/10.1140/epjb/e2016-70420-0 http://hdl.handle.net/11449/162038 |
identifier_str_mv |
European Physical Journal B. New York: Springer, v. 89, n. 10, 11 p., 2016. 1434-6028 10.1140/epjb/e2016-70420-0 WOS:000385167400003 WOS000385167400003.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
European Physical Journal B 0,430 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
11 application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
Web of Science 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_ |
1808129482323656704 |