Solitons of shallow-water models from energy-dependent spectral problems
Mathematical Physics
2017-05-16 v1 math.MP
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 energy-dependent spectral problems for the system, which we then use to construct the solution of this hydrodynamic system.
Keywords
Cite
@article{arxiv.1705.04989,
title = {Solitons of shallow-water models from energy-dependent spectral problems},
author = {Jack Haberlin and Tony Lyons},
journal= {arXiv preprint arXiv:1705.04989},
year = {2017}
}