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math-ph2024
On the twofold Moutard transformation of the stationary Schrödinger equation with axial symmetry
Andrey Kudryavtsev
The generalized Moutard transformation of the stationary axially symmetric Schrödinger equation is considered. It is shown that a superposition of two Moutard transformations can p…
math-ph2021
On the nonlocal Darboux transformation for the stationary axially symmetric Schrödinger and Helmholtz equations
Andrey Kudryavtsev
The nonlocal Darboux transformation for the stationary axially symmetric Schrödinger and Helmholtz equations is considered. Formulae for the nonlocal Darboux transformation are obt…
math-ph2019
The nonlocal Darboux transformation of the stationary axially symmetric Schrödinger equation and generalized Moutard transformation
Andrey Kudryavtsev
The nonlocal Darboux transformation of the stationary axially symmetric Schrödinger equation is considered. It is shown that a special case of the nonlocal Darboux transformation p…