Data di Pubblicazione:
2014
Citazione:
Symmetry and Lie-Frobenius reduction of differential equations / G. Gaeta. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 48:1(2014), pp. 015202.1-015202.22. [10.1088/1751-8113/48/1/015202]
Abstract:
Twisted symmetries, widely studied in the last decade, have proved to be as effective as standard ones in the analysis and reduction of nonlinear equations. We explain this effectiveness in terms of a Lie–Frobenius reduction; this requires focus not just on the prolonged (symmetry) vector fields, but on the
distributions spanned by these and on systems of vector fields in involution in the Frobenius sense, not necessarily spanning a Lie algebra.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
distributions; prolongations; reduction of ODEs; solution of PDEs; symmetry analysis; twisted symmetries
Elenco autori:
G. Gaeta
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