Determination of elementary first integrals of a generalized Raychaudhuri equation by the Darboux integrability method

A. Ghose Choudhury, Partha Guha, Barun Khanra

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Abstract

The Darboux integrability method is particularly useful to determine first integrals of nonplanar autonomous systems of ordinary differential equations, whose associated vector fields are polynomials. In particular, we obtain first integrals for a variant of the generalized Raychaudhuri equation, which has appeared in string inspired modern cosmology.

Original languageBritish English
Article number102502
JournalJournal of Mathematical Physics
Volume50
Issue number10
DOIs
StatePublished - 2009

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