The Finite Discrete KP Hierarchy and the Rational Functions
ABSTRACT: The set of all rational functions with any fixed denominator that simultaneously nullify in the infinite point is parametrized by means of a well-known integrable system: a finite dimensional version of the discrete KP hierarchy. This type of study was originated in Y. Nakamura’s works who...
- Autores:
-
López Reyes, Nancy
Felipe, Raul
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2008
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/39810
- Acceso en línea:
- https://hdl.handle.net/10495/39810
- Palabra clave:
- Ecuaciones
Equations
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by/4.0/
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The Finite Discrete KP Hierarchy and the Rational Functions |
| title |
The Finite Discrete KP Hierarchy and the Rational Functions |
| spellingShingle |
The Finite Discrete KP Hierarchy and the Rational Functions Ecuaciones Equations |
| title_short |
The Finite Discrete KP Hierarchy and the Rational Functions |
| title_full |
The Finite Discrete KP Hierarchy and the Rational Functions |
| title_fullStr |
The Finite Discrete KP Hierarchy and the Rational Functions |
| title_full_unstemmed |
The Finite Discrete KP Hierarchy and the Rational Functions |
| title_sort |
The Finite Discrete KP Hierarchy and the Rational Functions |
| dc.creator.fl_str_mv |
López Reyes, Nancy Felipe, Raul |
| dc.contributor.author.none.fl_str_mv |
López Reyes, Nancy Felipe, Raul |
| dc.contributor.researchgroup.spa.fl_str_mv |
Modelación con Ecuaciones Diferenciales |
| dc.subject.lemb.none.fl_str_mv |
Ecuaciones Equations |
| topic |
Ecuaciones Equations |
| description |
ABSTRACT: The set of all rational functions with any fixed denominator that simultaneously nullify in the infinite point is parametrized by means of a well-known integrable system: a finite dimensional version of the discrete KP hierarchy. This type of study was originated in Y. Nakamura’s works who used others integrable systems. Our work proves that the finite discrete KP hierarchy completely parametrizes the space RatΛn of rational functions of the form fx qx/zn, where qx is a polynomial of order n − 1 with nonzero independent coefficent. More exactly, it is proved that there exists a bijection from RatΛn to the moduli space of solutions of the finite discrete KP hierarchy and a compatible linear system. |
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2008 |
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2008 |
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2024-06-09T12:02:55Z |
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2024-06-09T12:02:55Z |
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Artículo de investigación |
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1026-0226 |
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https://hdl.handle.net/10495/39810 |
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10.1155/2008/792632 |
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1607-887X |
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1026-0226 10.1155/2008/792632 1607-887X |
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https://hdl.handle.net/10495/39810 |
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eng |
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eng |
| dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
Discrete. Dyn. Nat. Soc. |
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10 |
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1 |
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2008 |
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Discrete Dynamics in Nature and Society |
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López Reyes, NancyFelipe, RaulModelación con Ecuaciones Diferenciales2024-06-09T12:02:55Z2024-06-09T12:02:55Z20081026-0226https://hdl.handle.net/10495/3981010.1155/2008/7926321607-887XABSTRACT: The set of all rational functions with any fixed denominator that simultaneously nullify in the infinite point is parametrized by means of a well-known integrable system: a finite dimensional version of the discrete KP hierarchy. This type of study was originated in Y. Nakamura’s works who used others integrable systems. Our work proves that the finite discrete KP hierarchy completely parametrizes the space RatΛn of rational functions of the form fx qx/zn, where qx is a polynomial of order n − 1 with nonzero independent coefficent. More exactly, it is proved that there exists a bijection from RatΛn to the moduli space of solutions of the finite discrete KP hierarchy and a compatible linear system.Universidad de Antioquia. Vicerrectoría de investigación. Comité para el Desarrollo de la Investigación - CODIColombia. Ministerio de Ciencia, Tecnología e Innovación - MinicienciasConsejo Nacional de Humanidades, Ciencias y TecnologíasCOL002436510 páginasapplication/pdfengHindawiNueva York, Estados Unidoshttps://creativecommons.org/licenses/by/4.0/http://creativecommons.org/licenses/by/2.5/co/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2The Finite Discrete KP Hierarchy and the Rational FunctionsArtículo 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/publishedVersionEcuacionesEquationsDiscrete. Dyn. Nat. 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