Solitons, the Korteweg-de Vries equation with step boundary values, and pseudo-embedded eigenvalues

DOI10.1063/1.5026332zbMath1410.35163arXiv1802.03114OpenAlexW2963712994MaRDI QIDQ4687685

Mark J. Ablowitz, Justin T. Cole, Xu-Dan Luo

Publication date: 12 October 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.03114

zbMATH Keywords

Schrödinger equationKorteweg-de Vries (KdV) equationscattering and inverse scattering theory

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) General topics in linear spectral theory for PDEs (35P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

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