Some symmetry properties of the Riccati Differential Sequence and its integrals

Some symmetry properties of the Riccati Differential Sequence and its integrals

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...

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Veröffentlicht in:Afrika mathematica 2015-12, Vol.26 (7-8), p.1343-1348
Hauptverfasser: Tamizhmani, K. M., Sinuvasan, R., Krishnakumar, K., Leach, P. G. L.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Mathematics Education
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Zusammenfassung: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.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-014-0292-5