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Moutard transform for the conductivity equation

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 نشر من قبل Piotr G. Grinevich
 تاريخ النشر 2017
  مجال البحث فيزياء
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We construct Darboux-Moutard type transforms for the two-dimensional conductivity equation. This result continues our recent studies of Darboux-Moutard type transforms for generalized analytic functions. In addition, at least, some of the Darboux-Moutard type transforms of the present work admit direct extension to the conductivity equation in multidimensions. Relations to the Schrodinger equation at zero energy are also shown.



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