Browsing NTNU Open by Author "Eckhardt, Jonathan"
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A Lagrangian view on complete integrability of the conservative Camassa– Holm flow
Eckhardt, Jonathan; Grunert, Katrin (Journal article; Peer reviewed, 2017)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 isospectral problem. The respective ... -
Real-Valued Algebro-Geometric Solutions of the Two-Component Camassa–Holm Hierarchy
Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald (Journal article; Peer reviewed, 2017)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 associated to all real-valued, smooth, and ...