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math-ph2017★ 1 cited
Solitons of shallow-water models from energy-dependent spectral problems
Jack Haberlin, Tony Lyons
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-Hilber…
math-ph2014★ 39 cited
Two-component equations modelling water waves with constant vorticity
Joachim Escher, David Henry, Boris Kolev +1
In this paper we derive a two-component system of nonlinear equations which model two-dimensional shallow water waves with constant vorticity. Then we prove well-posedness of this…