The associated Camassa-Holm equation and the KdV equation
作者： A N W Hone
DOI: 10.1088/0305-4470/32/27/103
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摘要: Recently the associated Camassa-Holm (ACH) equation, related to Fuchssteiner-Fokas-Camassa-Holm equation by a reciprocal transformation, was introduced Schiff, who derived Backlund transformations loop group technique and used these obtain some simple soliton rational solutions. We show how ACH is Schrodinger operators KdV, describe construct solutions of from tau-functions KdV hierarchy. Rational, N-soliton elliptic are considered, as well exact given particular case third Painleve transcendent.
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