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math.SP2020
Inverse scattering for reflectionless Schrödinger operators with integrable potentials and generalized soliton solutions for the KdV equation
Rostyslav Hryniv, Bohdan Melnyk, Yaroslav Mykytyuk
We give a complete characterisation of the reflectionless Schrödinger operators on the line with integrable potentials, solve the inverse scattering problem of reconstructing such…
math.SP2020
On the First Trace Formula for Schrödinger Operators
Rostyslav Hryniv, Yaroslav Mykytyuk
We prove that the so-called first trace formula holds for all Schrödinger operators on the line with real-valued integrable potentials.