Reliable computation of the eigenvalues of the discrete KdV spectrum
作者：
Highlights：
• Numerical algorithm to compute the non-linear Fourier eigenvalues of the KdV equation.
• Suitable for a sampled input signals with vanishing boundaries.
• Use of Sturm-Liouville oscillation theory guarantees localization of every eigenvalue.
• Typically computationally more efficient than existing algorithms.
• More reliable than existing algorithms due to careful treatment of discrete effects.
摘要
•Numerical algorithm to compute the non-linear Fourier eigenvalues of the KdV equation.•Suitable for a sampled input signals with vanishing boundaries.•Use of Sturm-Liouville oscillation theory guarantees localization of every eigenvalue.•Typically computationally more efficient than existing algorithms.•More reliable than existing algorithms due to careful treatment of discrete effects.
论文关键词：Korteweg–de Vries equation (KdV),Nonlinear Fourier Transform (NFT),Eigenvalue,Schrödinger equation,Sturm–Liouville equation,Sampled signal
论文评审过程：Received 22 October 2021, Accepted 25 June 2022, Available online 15 July 2022, Version of Record 15 July 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127361
