• Corpus ID: 119157312

Moutard transform for the conductivity equation.

@article{Grinevich2017MoutardTF,
  title={Moutard transform for the conductivity equation.},
  author={P. G. Grinevich and R. G. Novikov L.D. Landau Institute for Theoretical Physics and Ras and Russia. and Lomonosov Moscow State University and Cmap and Ecole Nationale Polytechnique and France. and Institute of Earthquake Prediction},
  journal={arXiv: Mathematical Physics},
  year={2017}
}
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. 
1 Citations

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