Improving a family of Darboux methods for rational second order ordinary differential equations
نویسندگان
چکیده
منابع مشابه
Dealing with Rational Second Order Ordinary Differential Equations where both Darboux and Lie Find It Difficult: The $S$-function Method
Here we present a new approach to search for first order invariants (first integrals) of rational second order ordinary differential equations. This method is an alternative to the Darbouxian and symmetry approaches. Our procedure can succeed in many cases where these two approaches fail. We also present here a Maple implementation of the theoretical results and methods, hereby introduced, in a...
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ژورنال
عنوان ژورنال: Computer Physics Communications
سال: 2015
ISSN: 0010-4655
DOI: 10.1016/j.cpc.2015.04.028