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Hodograph transformations for a Camassa- Holm hierarchy in 2+1 dimensions

P. G. Estevez·J. Prada
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Abstract

A generalization of the negative Camassa-Holm hierarchy to 2+1 dimensions is presented under the name CHH(2+1). Several hodograph transformations are applied in order to transform the hierarchy into a system of coupled CBS (Calogero-Bogoyavlenskii-Schiff) equations in 2+1 dimensions that pass the Painleve test. A non-isospectral Lax pair for CHH(2+1) is obtained through the above mentioned relationship with the CBS spectral problem..

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P. G. Estevez, J. Prada. 2004-12-07. Hodograph transformations for a Camassa- Holm hierarchy in 2+1 dimensions. https://doi.org/10.1088/0305-4470%2F38%2F6%2F008

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