The inverse scattering transform for weak Wigner-von Neumann type potentials

Published 24 Mar 2022 in math-ph and math.MP | (2203.13325v1)

Abstract: In the context of the Cauchy problem for the Korteweg-de Vries equation we extend the inverse scattering transform to initial data that behave at plus infinity like a sum of Wigner-von Neumann type potentials with small coupling constants. Our arguments are based on the theory of Hankel operators.

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