We give a geometrical interpretation of the notion of mu-prolongations of vector fields and of the related concept of mu-symmetry for partial differential equations (extending to PDEs the notion of lambda-symmetry for ODEs). We give in particular a result concerning the relationship between mu-symmetries and standard exact symmetries. The notion is also extended to the case of conditional and partial symmetries, and we analyze the relation between local mu-symmetries and nonlocal standard symmetries.

On the relation between standard and mu-symmetries for PDEs / G. Cicogna, G. Gaeta, P. Morando. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 37:40(2004 Oct), pp. 9467-9486.

On the relation between standard and mu-symmetries for PDEs

G. Gaeta
Secondo
;
P. Morando
Ultimo
2004

Abstract

We give a geometrical interpretation of the notion of mu-prolongations of vector fields and of the related concept of mu-symmetry for partial differential equations (extending to PDEs the notion of lambda-symmetry for ODEs). We give in particular a result concerning the relationship between mu-symmetries and standard exact symmetries. The notion is also extended to the case of conditional and partial symmetries, and we analyze the relation between local mu-symmetries and nonlocal standard symmetries.
Settore MAT/07 - Fisica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/68922
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