Equations of Lax type with several brackets

ABSTRACT: In the present paper we introduce a new hierarchy, each equation of which is defined by several brackets of two pseudodifferential operators. We deal with some algebraic properties of these equations. In particular, we show that, as in the classic case, they are related to the presence of...

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Autores:
Velásquez Ossa, Raúl Eduardo
Felipe, Raúl
Tipo de recurso:
Article of investigation
Fecha de publicación:
2015
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/29349
Acceso en línea:
http://hdl.handle.net/10495/29349
https://revistaciencias.univalle.edu.co/index.php/revista_de_ciencias/%20article%20/view%20/6272
Palabra clave:
Pseudodifferential operators
http://id.loc.gov/authorities/subjects/sh85108264
Ecuaciones
Equations
Algebra
Rights
openAccess
License
https://creativecommons.org/licenses/by-nc-sa/4.0/
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dc.title.spa.fl_str_mv Equations of Lax type with several brackets
title Equations of Lax type with several brackets
spellingShingle Equations of Lax type with several brackets
Pseudodifferential operators
http://id.loc.gov/authorities/subjects/sh85108264
Ecuaciones
Equations
Algebra
title_short Equations of Lax type with several brackets
title_full Equations of Lax type with several brackets
title_fullStr Equations of Lax type with several brackets
title_full_unstemmed Equations of Lax type with several brackets
title_sort Equations of Lax type with several brackets
dc.creator.fl_str_mv Velásquez Ossa, Raúl Eduardo
Felipe, Raúl
dc.contributor.author.none.fl_str_mv Velásquez Ossa, Raúl Eduardo
Felipe, Raúl
dc.contributor.researchgroup.spa.fl_str_mv Álgebra U de A
dc.subject.lcsh.none.fl_str_mv Pseudodifferential operators
http://id.loc.gov/authorities/subjects/sh85108264
topic Pseudodifferential operators
http://id.loc.gov/authorities/subjects/sh85108264
Ecuaciones
Equations
Algebra
dc.subject.lemb.none.fl_str_mv Ecuaciones
Equations
dc.subject.lemb.spa.fl_str_mv Algebra
description ABSTRACT: In the present paper we introduce a new hierarchy, each equation of which is defined by several brackets of two pseudodifferential operators. We deal with some algebraic properties of these equations. In particular, we show that, as in the classic case, they are related to the presence of an infinite sequence of first integrals. A new version of the Zakharov-Shabat type equations is proved. Formal solutions of this hierarchy are constructed using a “several brackets bilinear identity”.
publishDate 2015
dc.date.issued.none.fl_str_mv 2015
dc.date.accessioned.none.fl_str_mv 2022-06-22T01:22:03Z
dc.date.available.none.fl_str_mv 2022-06-22T01:22:03Z
dc.type.spa.fl_str_mv Artículo de investigación
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dc.identifier.citation.spa.fl_str_mv Felipe, Raúl, & Velásquez, Raúl. (2015). Equations of Lax type with several brackets. Revista de Ciencias, 19(2), 101-114. Retrieved March 14, 2022, from http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0121-19352015000200007&lng=en&tlng=en.
dc.identifier.issn.none.fl_str_mv 0121-1935
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10495/29349
dc.identifier.doi.none.fl_str_mv 10.25100/rc.v19i2.6272
dc.identifier.eissn.none.fl_str_mv 2248-4000
dc.identifier.url.spa.fl_str_mv https://revistaciencias.univalle.edu.co/index.php/revista_de_ciencias/%20article%20/view%20/6272
identifier_str_mv Felipe, Raúl, & Velásquez, Raúl. (2015). Equations of Lax type with several brackets. Revista de Ciencias, 19(2), 101-114. Retrieved March 14, 2022, from http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0121-19352015000200007&lng=en&tlng=en.
0121-1935
10.25100/rc.v19i2.6272
2248-4000
url http://hdl.handle.net/10495/29349
https://revistaciencias.univalle.edu.co/index.php/revista_de_ciencias/%20article%20/view%20/6272
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournalabbrev.spa.fl_str_mv Rev. Cienc.
dc.relation.citationendpage.spa.fl_str_mv 114
dc.relation.citationissue.spa.fl_str_mv 2
dc.relation.citationstartpage.spa.fl_str_mv 101
dc.relation.citationvolume.spa.fl_str_mv 19
dc.relation.ispartofjournal.spa.fl_str_mv Revista de Ciencias
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dc.publisher.spa.fl_str_mv Universidad del Valle, Facultad de Ciencias Naturales y Exactas
dc.publisher.place.spa.fl_str_mv Cali, Colombia
institution Universidad de Antioquia
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spelling Velásquez Ossa, Raúl EduardoFelipe, RaúlÁlgebra U de A2022-06-22T01:22:03Z2022-06-22T01:22:03Z2015Felipe, Raúl, & Velásquez, Raúl. (2015). Equations of Lax type with several brackets. Revista de Ciencias, 19(2), 101-114. Retrieved March 14, 2022, from http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0121-19352015000200007&lng=en&tlng=en.0121-1935http://hdl.handle.net/10495/2934910.25100/rc.v19i2.62722248-4000https://revistaciencias.univalle.edu.co/index.php/revista_de_ciencias/%20article%20/view%20/6272ABSTRACT: In the present paper we introduce a new hierarchy, each equation of which is defined by several brackets of two pseudodifferential operators. We deal with some algebraic properties of these equations. In particular, we show that, as in the classic case, they are related to the presence of an infinite sequence of first integrals. A new version of the Zakharov-Shabat type equations is proved. Formal solutions of this hierarchy are constructed using a “several brackets bilinear identity”.COL008689613application/pdfengUniversidad del Valle, Facultad de Ciencias Naturales y ExactasCali, Colombiahttps://creativecommons.org/licenses/by-nc-sa/4.0/http://creativecommons.org/licenses/by-nc-sa/2.5/co/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Pseudodifferential operatorshttp://id.loc.gov/authorities/subjects/sh85108264EcuacionesEquationsAlgebraEquations of Lax type with several bracketsArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionRev. 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