Name
Title | ||
|---|---|---|
Birational transformations preserving rational solutions of algebraic ordinary differential equations |
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. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.cam.2015.03.007 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
integral birational transformation,integral curve,rational parametrization,rational solution,algebraic differential equation | Elliptic rational functions,Rational number,Algebraic number,Rational variety,Algebra,Mathematical analysis,Birational geometry,Differential algebraic geometry,Rational point,Rational function,Mathematics | Journal |
Volume | Issue | ISSN |
286 | C | 0377-0427 |
Citations | PageRank | References |
3 | 0.41 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| L. X. Châu Ngô | 1 | 29 | 2.68 |
| J. Rafael Sendra | 2 | 621 | 68.33 |
| Franz Winkler | 3 | 53 | 3.33 |