Moutard transforms for the conductivity equation
Abstract
We construct DarbouxMoutardtype transforms for the twodimensional conductivity equation. This result continues our recent studies of DarbouxMoutardtype transforms for generalized analytic functions. In addition, at least, some of the DarbouxMoutardtype 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.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 October 2019
 DOI:
 10.1007/s1100501901183x
 Bibcode:
 2019LMaPh.109.2209G