A solution method for autonomous first-order algebraic partial differential equations
In this paper we present a procedure for solving first-order autonomous algebraic partial differential equations in an arbitrary number of variables. The method uses rational parametrizations of algebraic (hyper)surfaces and generalizes a similar procedure for first-order autonomous ordinary differe...
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2016 |
| País: | España |
| Recursos: | Universidad de Alcalá (UAH) |
| Repositorio: | e_Buah Biblioteca Digital Universidad de Alcalá |
| Idioma: | inglés |
| OAI Identifier: | oai:ebuah.uah.es:10017/44793 |
| Acesso em linha: | http://hdl.handle.net/10017/44793 https://dx.doi.org/10.1016/j.cam.2015.12.030 |
| Access Level: | acceso abierto |
| Palavra-chave: | Partial differential equations Algebraic hypersurface Rational parametrization Complete solution Matemáticas Mathematics |
| Resumo: | In this paper we present a procedure for solving first-order autonomous algebraic partial differential equations in an arbitrary number of variables. The method uses rational parametrizations of algebraic (hyper)surfaces and generalizes a similar procedure for first-order autonomous ordinary differential equations. In particular we are interested in rational solutions and present certain classes of equations having rational solutions. However, the method can also be used for finding non-rational solutions. |
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