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On the local and nonlocal Camassa–Holm hierarchies
Paolo Casati, Paolo Lorenzoni, Giovanni Ortenzi, Marco Pedroni
Source abstract
We construct the local and nonlocal conserved densities for the Camassa–Holm equation by solving a suitable Riccati equation. We also define a Kadomtsev–Petviashvili extension for the local Camassa–Holm hierarchy.
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