Eigenvalue Analysis of the Lax Operator for the One-Dimensional Cubic nonlinear Defocusing Schrödinger Equation

DOI10.1137/23m1550232arXiv2207.05186OpenAlexW4388494166MaRDI QIDQ6090008

Michael Plum, Xian Liao

Publication date: 13 November 2023

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.05186

zbMATH Keywords

spectral analysisSturm-Liouville eigenvalue problemLax operatorone-dimensional Dirac operatornonzero boundary conditioncubic nonlinear defocusing Schrödinger equation

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) 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) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

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