Physics – Mathematical Physics
Scientific paper
2006-02-08
Physics
Mathematical Physics
20 pages
Scientific paper
We find a remarkable subalgebra of higher symmetries of the elliptic Euler-Darboux equation. To this aim we map such equation into its hyperbolic analogue already studied by Shemarulin. Taking into consideration how symmetries and recursion operators transform by this complex contact transformation, we explicitly give the structure of this Lie algebra and prove that it is finitely generated. Furthermore, higher symmetries depending on jets up to second order are explicitly computed.
Ferraioli Diego Catalano
Manno Gianni
Pugliese Fabrizio
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