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TitleBirational transformations preserving rational solutions of algebraic ordinary differential equations
Author(s) L.X. Chau Ngo, J. Rafael Sendra, Franz Winkler
TypeArticle in Journal
AbstractAbstract 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.
KeywordsAlgebraic differential equation, Rational solution, Integral birational transformation, Integral curve, Rational parametrization
ISSN0377-0427
URL http://www.sciencedirect.com/science/article/pii/S0377042715001533
LanguageEnglish
JournalJournal of Computational and Applied Mathematics
Volume286
Number0
Pages114 - 127
Year2015
Edition0
Translation No
Refereed No
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