Some symmetry properties of the Riccati Differential Sequence and its integrals
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Abstract
We examine the elements of the Riccati Differential Sequence and its integrals in terms of their structure and their symmetry properties. We find that there is a marked change from the fourth member of the sequence (the well-known Painlevé–Ince Equation) to subsequent members of the sequence both in terms of the number of Lie point symmetries of the differential equation and of the integrals.
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Copyright: 2014. Springer Link. Due to copyright restrictions, only the abstract is available. For access to the full text item, please consult the publisher's website. The definitive version of the work is published in Afrika Matematika, December 2015, Volume 26, Issue 7, pp 1343-1348
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Tamizhmani, K.M.; Sinuvasan, R.; Krishnakumar, K. and Leach, P. G. L. 2014. Some symmetry properties of the Riccati Differential Sequence and its integrals. Afrika Matematika, 26(7), pp 1343-1348