Title: First integrals for time-dependent higher-order Riccati equations by nonholonomic transformation
Abstract: We exploit the notion of nonholonomic transformations to deduce a time-dependent first integral for a (generalized) second-order nonautonomous Riccati differential equation. It is further shown that the method can also be used to compute the first integrals of a particular class of third-order time-dependent ordinary differential equations and is therefore quite robust.
Publication Year: 2010
Publication Date: 2010-12-18
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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