On the Darboux integrability of Blasius and Falkner-Skan equation
We study the Darboux integrability of the celebrated Falkner-Skan equation f''' + ff'' + λ(1-f'2) = 0, where λ is a parameter. When λ = 0 this equation is known as Blasius equation. We show that both differential systems have no first integrals of Darboux type. Addition...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150595 |
| Acesso em linha: | https://ddd.uab.cat/record/150595 https://dx.doi.org/urn:doi:10.1016/j.compfluid.2013.06.027 |
| Access Level: | acceso abierto |
| Palavra-chave: | Falkner-Skan equation Blasius equation Integrability Darboux polynomials |
| Resumo: | We study the Darboux integrability of the celebrated Falkner-Skan equation f''' + ff'' + λ(1-f'2) = 0, where λ is a parameter. When λ = 0 this equation is known as Blasius equation. We show that both differential systems have no first integrals of Darboux type. Additionally we compute all the Darboux polynomials and all the exponential factors of these differential equations. |
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