39 citations · 162 across the 16 of their papers we have counts for
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3 papers · 1 filter
physics.flu-dyn2017★ 1 cited
The dynamic pressure in deep-water extreme Stokes waves
Tony Lyons
In this paper we consider the dynamic pressure in a deep-water extreme Stokes wave. While the presence of stagnation points introduces a number of mathematical complications, maxim…
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…
nlin.SI2017★ 7 cited
A dressing method for soliton solutions of the Camassa-Holm equation
Rossen Ivanov, Tony Lyons, Nigel Orr
The soliton solutions of the Camassa-Holm equation are derived by the implementation of the dressing method. The form of the one and two soliton solutions coincides with the form o…