KdV equation beyond standard assumptions on initial data

DOI10.1016/j.physd.2017.10.005zbMath1380.35138arXiv1710.02933OpenAlexW2763435151WikidataQ114660291 ScholiaQ114660291MaRDI QIDQ1700993

Alexei Rybkin

Publication date: 22 February 2018

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02933

zbMATH Keywords

KdV equationHankel operatorsnondecaying initial data

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items

Global well-posedness for \(H^{-1}(\mathbb{R})\) perturbations of KdV with exotic spatial asymptotics, Inverse scattering transform for nonlinear Schrödinger systems on a nontrivial background: a survey of classical results, new developments and future directions, Nonautonomous symmetries of the KdV equation and step-like solutions, On the trace-class property of Hankel operators arising in the theory of the Korteweg-de Vries equation, The effect of a positive bound state on the KdV solution: a case study ^*, KdV on an incoming tide, On numerical inverse scattering for the Korteweg–de Vries equation with discontinuous step-like data

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