24 citations · 26 across the 3 of their papers we have counts for
3 papers
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.SI2012★ 24 cited
Dark solitons of the Qiao's hierarchy
Rossen Ivanov, Tony Lyons
We obtain a class of soliton solutions of the integrable hierarchy which has been put forward in a series of works by Z. Qiao. The soliton solutions are in the class of real functi…