The inverse scattering transform for weak Wigner–von Neumann type potentials <sup>*</sup>-Reference-Cited by-同舟云学术

The inverse scattering transform for weak Wigner–von Neumann type potentials ^*

Published:2022-04-20 Issue:5 Volume:35 Page:2175-2191
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Grudsky Sergei,Rybkin Alexei^ORCID

Abstract

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.

Funder

National Science Foundation

Consejo Nacional de Ciencia y Tecnología

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1361-6544/ac5f5e/pdf

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