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

Jack Haberlin, Tony Lyons

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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
Issue number1
Publication statusPublished - 01 Jan 2018


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