On the Darboux integrability of the Painlevé II equations
In this paper we prove the non-existence of Darboux first integrals for the Painlev' II equations x = y - z/2- x2 , y = α + 1/2 + 2xy, z = 1 for all values of α ∈ C \ {αn : n = 2, 4, . . .}. These αn are real and larger than -1/2.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:145372 |
| Acceso en línea: | https://ddd.uab.cat/record/145372 https://dx.doi.org/urn:doi:10.1080/14029251.2015.996441 |
| Access Level: | acceso abierto |
| Palabra clave: | Darboux integrability Hamiltonian system Painleve transcendents |
| Sumario: | In this paper we prove the non-existence of Darboux first integrals for the Painlev' II equations x = y - z/2- x2 , y = α + 1/2 + 2xy, z = 1 for all values of α ∈ C \ {αn : n = 2, 4, . . .}. These αn are real and larger than -1/2. |
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