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Higher symmetries of the elliptic Euler-Darboux equation

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 نشر من قبل Gianni Manno
 تاريخ النشر 2006
  مجال البحث فيزياء
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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.



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