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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Manno, G., Oliveri, F. & Vitolo, R. Differential equations uniquely determined by algebras of point symmetries. Theor Math Phys 151, 843–850 (2007). https://doi.org/10.1007/s11232-007-0069-1
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DOI: https://doi.org/10.1007/s11232-007-0069-1