Solitons of shallow-water models from energy-dependent spectral problems

Jack Haberlin, Tony Lyons

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

The current work investigates the soliton solutions of the Kaup-Boussinesq equation using the inverse scattering transform method. We outline the construction of the Riemann-Hilbert problem for a pair of energy-dependent spectral problems for the system, which we then use to construct the solution of this hydrodynamic system.

Original languageEnglish
Article number16
JournalEuropean Physical Journal Plus
Volume133
Issue number1
DOIs
Publication statusPublished - 01 Jan 2018

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