Differential Invariants and Application to Riccati-Type Systems

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dc.creatorPopovych, Roman
dc.creatorBoyko, Vyacheslav
dc.date2001-12-24
dc.date.accessioned2026-07-07T04:28:52Z
dc.date.available2026-07-07T04:28:52Z
dc.descriptionWe generalize the classical Lie results on a basis of differential invariants for a one-parameter group of local transformations to the case of arbitrary number of independent and dependent variables. It is proved that if universal invariant of a one-parameter group is known then a complete set of functionally independent differential invariants can be constructed via one quadrature and differentiations. Some applications of first-order differential invariants to Riccati-type systems are also presented.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0112057
dc.identifierhttp://arxiv.org/abs/math-ph/0112057
dc.identifierProceedings of Fourth International Conference ``Symmetry in Nonlinear Mathematical Physics'' (9-15 July, 2001, Kyiv), Editors A.G. Nikitin, V.M. Boyko and R.O. Popovych, Proceedings of Institute of Mathematics, Kyiv, 2002, V.43, Part 1, 184-193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56953
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subjectGroup Theory
dc.subjectExactly Solvable and Integrable Systems
dc.subject53A55; 22E05; 58G35; 35A30; 34A34
dc.titleDifferential Invariants and Application to Riccati-Type Systems
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