56 citations · 549 across the 34 of their papers we have counts for
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nlin.SI2016★ 11 cited
A Lagrangian view on complete integrability of the two-component Camassa-Holm system
Jonathan Eckhardt, Katrin Grunert
We show how the change from Eulerian to Lagrangian coordinates for the two-component Camassa-Holm system can be understood in terms of certain reparametrizations of the underlying…
nlin.SI2015★ 11 cited
Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy
Jonathan Eckhardt, Fritz Gesztesy, Helge Holden +2
We provide a construction of the two-component Camassa-Holm (CH-2) hierarchy employing a new zero-curvature formalism and identify and describe in detail the isospectral set associ…
nlin.SI2013★ 7 cited
A coupling problem for entire functions and its application to the long-time asymptotics of integrable wave equations
Jonathan Eckhardt, Gerald Teschl
We propose a novel technique for analyzing the long-time asymptotics of integrable wave equations in the case when the underlying isospectral problem has purely discrete spectrum.…