Moutard transform for the conductivity equation
Mathematical Physics
2019-03-05 v4 Analysis of PDEs
math.MP
Exactly Solvable and Integrable Systems
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 Schr\"odinger equation at zero energy are also shown.
Keywords
Cite
@article{arxiv.1801.00295,
title = {Moutard transform for the conductivity equation},
author = {P. G. Grinevich and R. G. Novikov},
journal= {arXiv preprint arXiv:1801.00295},
year = {2019}
}
Comments
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