Rational solutions of the full Kostant-Toda equation
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| Format: | Artículo científico |
| Language: | en |
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Escuela Regional de Matemáticas
2008
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| _version_ | 1876424903795671040 |
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| author | Nancy López Reyes |
| author_facet | Nancy López Reyes |
| contents | Rational solutions of the full Kostant-Toda equation Nancy López Reyes Raúl Felipe Parada Física, Astronomía y Matemáticas Borel Kostant Toda equation Gauss decomposition discrete KP hierarchy In this paper a commuting hierarchy of flows including the full Kostant-Toda equation is studied. A Mulase´s approach which uses the so-called Borel-Gauss decomposition leads to explicit rational solutions of the full Kostant-Toda equation. Finally, we investigate how the solution blows up in finite time in the case of matrices of order 2. 2008 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46816102 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.1 Vol.XVI |
| format | Artículo científico |
| id | redalyc_46816102 |
| institution | Redalyc |
| language | en |
| publishDate | 2008 |
| publisher | Escuela Regional de Matemáticas |
| spellingShingle | Rational solutions of the full Kostant-Toda equation Nancy López Reyes Física, Astronomía y Matemáticas Borel Kostant Toda equation Gauss decomposition discrete KP hierarchy Rational solutions of the full Kostant-Toda equation Nancy López Reyes Raúl Felipe Parada Física, Astronomía y Matemáticas Borel Kostant Toda equation Gauss decomposition discrete KP hierarchy In this paper a commuting hierarchy of flows including the full Kostant-Toda equation is studied. A Mulase´s approach which uses the so-called Borel-Gauss decomposition leads to explicit rational solutions of the full Kostant-Toda equation. Finally, we investigate how the solution blows up in finite time in the case of matrices of order 2. 2008 artículo científico 0120-6788 https://www.redalyc.org/articulo.oa?id=46816102 en http://www.redalyc.org/revista.oa?id=468 Matemáticas: Enseñanza Universitaria application/pdf Escuela Regional de Matemáticas Matemáticas: Enseñanza Universitaria (Colombia) Num.1 Vol.XVI |
| title | Rational solutions of the full Kostant-Toda equation |
| topic | Física, Astronomía y Matemáticas Borel Kostant Toda equation Gauss decomposition discrete KP hierarchy |
| url | https://www.redalyc.org/articulo.oa?id=46816102 |