Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations

DOI10.1016/j.aml.2019.106161zbMath1440.35307OpenAlexW2990711329MaRDI QIDQ2187111

Publication date: 2 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106161

zbMATH Keywords

inverse scattering transform eigenvalue problem Riemann-Hilbert problem soliton solution nonlocal reverse-time integrable equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) 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) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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