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math.AP2007★ 3 cited
On a complex differential Riccati equation
Kira V. Khmelnytskaya, Vladislav V. Kravchenko
We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many propertie…
math.AP2004
On the reduction of the multidimensional Schroedinger equation to a first order equation and its relation to the pseudoanalytic function theory
Vladislav V. Kravchenko
Given a particular solution of a one-dimensional stationary Schroedinger equation (SE) this equation of second order can be reduced to a first order linear differential equation. T…