On partial differential and difference equations with symmetries depending on arbitrary functions
Articolo
Data di Pubblicazione:
2016
Citazione:
On partial differential and difference equations with symmetries depending on arbitrary functions / G. Gubbiotti, D. Levi, C. Scimiterna. - In: ACTA POLYTECHNICA. - ISSN 1210-2709. - 56:3(2016 Jun 30), pp. 193-201. [10.14311/AP.2016.56.0193]
Abstract:
In this note we present some ideas on when Lie symmetries, both point and generalized, can depend on arbitrary functions. We show a few examples, both in partial differential and partial difference equations where this happens. Moreover we show that the infinitesimal generators of generalized symmetries depending on arbitrary functions, both for continuous and discrete equations, effectively play the role of master symmetries.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Lie symmetries; Partial difference equation; Partial differential equation
Elenco autori:
G. Gubbiotti, D. Levi, C. Scimiterna
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