https://doi.org/10.1140/epjp/i2018-11848-8
Regular Article
Solitons of shallow-water models from energy-dependent spectral problems
1
Department of Science, Waterford Institute of Technology, Cork Road, Waterford, Ireland
2
Department of Computing and Mathematics, Waterford Institute of Technology, Cork Road, Waterford, Ireland
* e-mail: tlyons@wit.ie
Received:
24
November
2017
Accepted:
31
December
2017
Published online:
18
January
2018
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018
