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On the relation between standard and $μ$-symmetries for PDEs

G. Cicogna. G. Gaeta·P. Morando
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Abstract

We 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 analyze the relation between local $μ$-symmetries and nonlocal standard symmetries.

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G. Cicogna. G. Gaeta, P. Morando. 2004-09-02. On the relation between standard and $μ$-symmetries for PDEs. https://doi.org/10.1088/0305-4470/37/40/010

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