La propiedad de Painlevé
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| Format: | Artículo científico |
| Language: | es |
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Universidad Autónoma del Estado de México
2001
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| _version_ | 1876491246902444032 |
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| author | Jorge Fujioka |
| author_facet | Jorge Fujioka |
| contents | La propiedad de Painlevé Jorge Fujioka Multidisciplinarias (Ciencias Sociales) Painlevé solitons integrability similarity reductions Bäcklund transformations This paper begins with a brief review of the history of the Painlevé property. The Painlevé test is applied to two non linear partial differential equations (the Tu equation, and an extended mKdV equation) which have not been tested in this way before, and it is proved that these two equations possess the Painlevé property. The Painlevé analysis also is used to determine a Bäcklund transformation and the bilinear form of the Tu equation. A similarity reduction for this equation is found by means of the Clarkson-Kruskal method. 2001 artículo científico 1405-0269 https://www.redalyc.org/articulo.oa?id=10402210 es http://www.redalyc.org/revista.oa?id=104 CIENCIA ergo-sum, Revista Científica Multidisciplinaria de Prospectiva application/pdf Universidad Autónoma del Estado de México CIENCIA ergo-sum, Revista Científica Multidisciplinaria de Prospectiva (México) Num.3 Vol.8 |
| format | Artículo científico |
| id | redalyc_10402210 |
| institution | Redalyc |
| language | es |
| publishDate | 2001 |
| publisher | Universidad Autónoma del Estado de México |
| spellingShingle | La propiedad de Painlevé Jorge Fujioka Multidisciplinarias (Ciencias Sociales) Painlevé solitons integrability similarity reductions Bäcklund transformations La propiedad de Painlevé Jorge Fujioka Multidisciplinarias (Ciencias Sociales) Painlevé solitons integrability similarity reductions Bäcklund transformations This paper begins with a brief review of the history of the Painlevé property. The Painlevé test is applied to two non linear partial differential equations (the Tu equation, and an extended mKdV equation) which have not been tested in this way before, and it is proved that these two equations possess the Painlevé property. The Painlevé analysis also is used to determine a Bäcklund transformation and the bilinear form of the Tu equation. A similarity reduction for this equation is found by means of the Clarkson-Kruskal method. 2001 artículo científico 1405-0269 https://www.redalyc.org/articulo.oa?id=10402210 es http://www.redalyc.org/revista.oa?id=104 CIENCIA ergo-sum, Revista Científica Multidisciplinaria de Prospectiva application/pdf Universidad Autónoma del Estado de México CIENCIA ergo-sum, Revista Científica Multidisciplinaria de Prospectiva (México) Num.3 Vol.8 |
| title | La propiedad de Painlevé |
| topic | Multidisciplinarias (Ciencias Sociales) Painlevé solitons integrability similarity reductions Bäcklund transformations |
| url | https://www.redalyc.org/articulo.oa?id=10402210 |