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

  • Jack Haberlin
  • Tony LyonsEmail author
Regular Article


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.


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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of ScienceWaterford Institute of TechnologyWaterfordIreland
  2. 2.Department of Computing and MathematicsWaterford Institute of TechnologyWaterfordIreland

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