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
Casati, P., Lorenzoni, P., Ortenzi, G., Pedroni, M. (2005). On the local and nonlocal Camassa-Holm hierarchies. JOURNAL OF MATHEMATICAL PHYSICS, 46(4), 042704 [10.1063/1.1888568].
On the local and nonlocal Camassa-Holm hierarchies
LORENZONI, PAOLO;ORTENZI, GIOVANNI;
2005
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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