On numerical inverse scattering for the Korteweg–de Vries equation with discontinuous step-like data

DOI10.1088/1361-6544/ab6c37zbMath1484.35332arXiv1809.09263OpenAlexW3011222989MaRDI QIDQ5019837

Deniz Bilman, Thomas Trogdon

Publication date: 11 January 2022

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.09263

zbMATH Keywords

Riemann-Hilbert problemKorteweg-de Vries equationinverse scatteringstep-like data

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items

Soliton asymptotics for the KdV shock problem via classical inverse scattering, An artificially-damped Fourier method for dispersive evolution equations, Computation of large-genus solutions of the Korteweg-de Vries equation

Uses Software

• Matlab
• DLMF
• RHPackage
• GitHub

Cites Work

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