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...
- 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
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/2.5/co/
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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 |
| 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.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 |
| dc.subject.lemb.none.fl_str_mv |
Ecuaciones Equations |
| 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”. |
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2015 |
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2015 |
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2022-06-22T01:22:03Z |
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2022-06-22T01:22:03Z |
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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. |
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0121-1935 |
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http://hdl.handle.net/10495/29349 |
| dc.identifier.doi.none.fl_str_mv |
10.25100/rc.v19i2.6272 |
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2248-4000 |
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https://revistaciencias.univalle.edu.co/index.php/revista_de_ciencias/%20article%20/view%20/6272 |
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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 |
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http://hdl.handle.net/10495/29349 https://revistaciencias.univalle.edu.co/index.php/revista_de_ciencias/%20article%20/view%20/6272 |
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eng |
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eng |
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Rev. Cienc. |
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info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by-nc-sa/2.5/co/ |
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openAccess |
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Universidad del Valle, Facultad de Ciencias Naturales y Exactas |
| dc.publisher.group.spa.fl_str_mv |
Álgebra U de A |
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Cali, Colombia |
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Universidad de Antioquia |
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Velásquez Ossa, Raúl EduardoFelipe, Raúl2022-06-22T01:22:03Z2022-06-22T01:22:03Z2015Felipe, 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 ExactasÁlgebra U de ACali, Colombiainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-sa/4.0/Pseudodifferential operatorshttp://id.loc.gov/authorities/subjects/sh85108264EcuacionesEquationsEquations of Lax type with several bracketsRev. Cienc.Revista de Ciencias101114192CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81051https://bibliotecadigital.udea.edu.co/bitstream/10495/29349/2/license_rdfe2060682c9c70d4d30c83c51448f4eedMD52ORIGINALVelazquezRaul_2015_EquationsOfLaxType .pdfVelazquezRaul_2015_EquationsOfLaxType .pdfArtículo de investigaciónapplication/pdf367617https://bibliotecadigital.udea.edu.co/bitstream/10495/29349/1/VelazquezRaul_2015_EquationsOfLaxType%20.pdfd9d2d2bbb937018c139a9e3642be8c5cMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstream/10495/29349/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD5310495/29349oai:bibliotecadigital.udea.edu.co:10495/293492022-06-21 20:22:03.648Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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 |