Integrable nonlocal derivative nonlinear Schrödinger equations

DOI10.1088/1361-6420/ac5f75zbMath1490.35386OpenAlexW4293234456MaRDI QIDQ5076001

Mark J. Ablowitz, Yi Zhu, Ziad H. Musslimani, Xu-Dan Luo

Publication date: 12 May 2022

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/ac5f75

zbMATH Keywords

inverse scattering transformsolitonsnonlinear Klein-Gordon equationRiemann-Hilbert problemsGel'fand-Levitan-Marchenko equationsderivative NLS equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) 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)

Related Items (1)

Revised Riemann-Hilbert problem for the derivative nonlinear Schrödinger equation: vanishing boundary condition

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