Two-peak soliton in the CKP hierarchy

Jingsong He, Yi Cheng and Rudolf A. Römer

Chaos, Solitons & Fractals, 2007, vol. 31, issue 2, 343-346

Abstract: We present a systematic approach to the construction of soliton solutions for the 5-reduction of the C-type sub-hierarchy for the Kadomtsev–Petviashvili (CKP) hierarchies starting from the general τ-function τ(n+k) of the Kadomtsev–Petviashvili (KP) hierarchy. We obtain the one-soliton and two-soliton solutions for the bi-directional Kaup–Kupershmidt (bKK) equation, i.e. the 5-reduction of CKP hierarchy.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:2:p:343-346

DOI: 10.1016/j.chaos.2006.03.064

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