Differential equations uniquely determined by algebras of point symmetries |
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| Authors: | G Manno F Oliveri R Vitolo |
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| Institution: | (1) Dipartimento di Matematica “E. De Giorgi”, Università degli studi di Lecce, via per Arnesano, 73100 Lecce, Italy;(2) Dipartimento di Matematica, Università degli studi di Messina, Contrada Papardo, Salita Sperone 31, 98166 Messina, Italy |
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| Abstract: | We continue to investigate strongly and weakly Lie remarkable equations, which we defined in a recent paper. We consider some
relevant algebras of vector fields on ℝk (such as the isometric, affine, projective, or conformal algebras) and characterize strongly Lie remarkable equations admitted
by the considered Lie algebras.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 3, pp. 486–494, June, 2007. |
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| Keywords: | Lie symmetries of differential equations jet space |
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