Details:
Title | Birational transformations preserving rational solutions of algebraic ordinary differential equations | Author(s) | L.X. Chau Ngo, J. Rafael Sendra, Franz Winkler | Type | Article in Journal | Abstract | Abstract We characterize the set of all rational transformations with the property of preserving the existence of rational solutions of algebraic ordinary differential equations (AODEs). This set is a group under composition and, by its action, partitions the set of AODEs into equivalence classes for which the existence of rational solutions is an invariant property. Moreover, we describe how the rational solutions, if any, of two different AODEs in the same class are related. | Keywords | Algebraic differential equation, Rational solution, Integral birational transformation, Integral curve, Rational parametrization | ISSN | 0377-0427 |
URL |
http://www.sciencedirect.com/science/article/pii/S0377042715001533 |
Language | English | Journal | Journal of Computational and Applied Mathematics | Volume | 286 | Number | 0 | Pages | 114 - 127 | Year | 2015 | Edition | 0 | Translation |
No | Refereed |
No |
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