Geodesic
Darboux--Moutard transformations and Poincar\'e--Steklov operators
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Topology and physics, Tome 302 (2018), pp. 334-342

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Formulas relating Poincaré–Steklov operators for Schrödinger equations related by Darboux–Moutard transformations are derived. They can be used for testing algorithms of reconstruction of the potential from measurements at the boundary. 
@article{TM_2018_302_a15,
     author = {R. G. Novikov and I. A. Taimanov},
     title = {Darboux--Moutard transformations and {Poincar\'e--Steklov} operators},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {334--342},
     publisher = {mathdoc},
     volume = {302},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2018_302_a15/}
}
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R. G. Novikov; I. A. Taimanov. Darboux--Moutard transformations and Poincar\'e--Steklov operators. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Topology and physics, Tome 302 (2018), pp. 334-342. http://geodesic.mathdoc.fr/item/TM_2018_302_a15/