Soliton asymptotics for the KdV shock problem via classical inverse scattering

DOI10.1016/j.jmaa.2022.126251zbMath1504.35440arXiv2109.08423OpenAlexW4223979439MaRDI QIDQ2672979

Iryna Egorova, Johanna Michor, Gerald Teschl

Publication date: 13 June 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.08423

zbMATH Keywords

inverse scattering transformsolitonsKdV equationshock problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

Related Items

A continuous analog of the binary Darboux transformation for the Korteweg–de Vries equation, A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions

Uses Software

• DLMF

Cites Work

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