Giampaolo Cicogna et al 2004 J. Phys. A: Math. Gen. 37 9467 doi:10.1088/0305-4470/37/40/010
Giampaolo Cicogna1, Giuseppe Gaeta2 and Paola Morando3
Show affiliationsWe give a geometrical interpretation of the notion of μ-prolongations of vector fields and of the related concept of μ-symmetry for partial differential equations (extending to PDEs the notion of λ-symmetry for ODEs). We give in particular a result concerning the relationship between μ-symmetries and standard exact symmetries. The notion is also extended to the case of conditional and partial symmetries, and we analyse the relation between local μ-symmetries and nonlocal standard symmetries.
58J70 Invariance and symmetry properties (See also 35A30)
35A30 Geometric theory, characteristics, transformations (See also 58J70, 58J72)
Issue 40 (8 October 2004)
Received 11 May 2004, in final form 24 August 2004
Published 22 September 2004
Giampaolo Cicogna et al 2004 J. Phys. A: Math. Gen. 37 9467
Kostyantyn Ropotenko 2007 Class. Quantum Grav. 24 5721
P V Coveney et al 1985 J. Phys. B: At. Mol. Phys. 18 4557
Robert C. Mitchell et al. 2002 ApJ 574 293
C J Gao 2004 Class. Quantum Grav. 21 5949
Yuru Wang et al 2009 Meas. Sci. Technol. 20 125101
A Cot et al 2004 Phys. Med. Biol. 49 3125
G J Kim et al 2006 J. Phys. D: Appl. Phys. 39 4386
J P J Michels and F W Wiegel 1989 J. Phys. A: Math. Gen. 22 2393
M A Andreata and V V Dodonov 2000 J. Phys. A: Math. Gen. 33 3209