Moutard transforms for the conductivity equation

Abstract : 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 Schrödinger equation at zero energy are also shown.
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Submitted on : Tuesday, March 5, 2019 - 8:47:52 PM
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  • HAL Id : hal-01673778, version 4

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Piotr Grinevich, Roman Novikov. Moutard transforms for the conductivity equation. 2019. ⟨hal-01673778v4⟩

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