On recovering the nonlinearity for generalized higher-order Schrödinger equations

DOI10.3934/ipi.2023039arXiv2303.06312OpenAlexW4386626892MaRDI QIDQ6152172

Zachary Lee, Xueying Yu

Publication date: 11 March 2024

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

Full work available at URL: https://arxiv.org/abs/2303.06312

zbMATH Keywords

inverse problemnonlinear Schrödinger equationX-ray transformhigher-order Schrödinger equationsrecovery of coefficient

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• Unnamed Item
• Analyticity of the scattering operator for semilinear dispersive equations
• Time-dependent method for non-linear Schrödinger equations in inverse scattering problems
• Recovery of a cubic non-linearity in the wave equation in the weakly non-linear regime
• Recovery of a cubic nonlinearity for the nonlinear Schrödinger equation
• Multiphase Weakly Nonlinear Geometric Optics for Schrödinger Equations
• Higher order Schrödinger equations
• The scattering map determines the nonlinearity

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