39 citations · 162 across the 16 of their papers we have counts for
Showing 2012Show all
3 papers · 1 filter
nlin.SI2012★ 21 cited
Integrable models for shallow water with energy dependent spectral problems
Rossen I. Ivanov, Tony Lyons
We study the inverse problem for the so-called operators with energy depending potentials. In particular, we study spectral operators with quadratic dependance on the spectral para…
nlin.SI2012★ 1 cited
The 2-component dispersionless Burgers equation arising in the modelling of blood flow
Tony Lyons
This article investigates the properties of the solutions of the dispersionless two-component Burgers (B2) equation, derived as a model for blood-flow in arteries with elastic wall…
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…