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. (C) 2005 American Institute of Physics
On the local and nonlocal Camassa-Holm hierarchies
ORTENZI, GIOVANNI;
2005-01-01
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. (C) 2005 American Institute of Physics
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