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

DOI10.1088/1361-6544/ac5f5ezbMath1492.35262arXiv2203.13325OpenAlexW4226048963MaRDI QIDQ5072394

Alexei Rybkin, Sergei M. Grudsky

Publication date: 28 April 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.13325

zbMATH Keywords

inverse scattering transformKdV equationHankel operatorsWigner-von Neumann potential

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

Related Items

The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg-de Vries hierarchy, Norming constants of embedded bound states and bounded positon solutions of the Korteweg-de Vries equation

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