468 citations · 2.1k across the 70 of their papers we have counts for
Showing 2012 · nlin.SIShow all
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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★ 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…
nlin.SI2012★ 147 cited
Inverse Scattering Transform for the Degasperis-Procesi Equation
Adrian Constantin, Rossen I. Ivanov, Jonatan Lenells
We develop the Inverse Scattering Transform (IST) method for the Degasperis-Procesi equation. The spectral problem is an Zakharov-Shabat problem with constant bo…