A higher-dimensional multi-component integrable hierarchy and its integrable couplings

Yue Chao and Yufeng Zhang

Chaos, Solitons & Fractals, 2007, vol. 32, issue 4, 1477-1484

Abstract: By use of a (2+1)-dimensional zero-curvature equation and Tu scheme, a (2+1)-dimensional multi-component integrable hierarchy is obtained. As reduction cases, the (2+1)-dimensional Ablowitz–Kaup–Newell–Segur (AKNS) hierarchy and Kaup–Newell (KN) hierarchy are engendered, respectively. Taking advantage of the expanding loop algebra F∼M of the loop algebra G∼M, a type of expanding Lax integrable model of the above-mentioned (2+1)-dimensional multi-component integrable hierarchy, i.e. integrable couplings, is worked out.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:4:p:1477-1484

DOI: 10.1016/j.chaos.2005.11.101

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