The inverse scattering transform for weak Wigner-von Neumann type potentials
Mathematical Physics
2022-05-04 v1 math.MP
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.
Keywords
Cite
@article{arxiv.2203.13325,
title = {The inverse scattering transform for weak Wigner-von Neumann type potentials},
author = {Sergei Grudsky and Alexei Rybkin},
journal= {arXiv preprint arXiv:2203.13325},
year = {2022}
}
Comments
To appear in Nonlinearity