Abstract
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.
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