Abstract
Abstract—Enlargement of Lie super algebra B(0,1) was given firstly. Then nonlinear super integrable couplings of the super C-KdV hierarchy based upon this enlarged matrix Lie super algebra were constructed secondly. And its super Hamiltonian structures were established by using super trace identity thirdly. As its reduction, special integrable couplings of the C-KdV hierarchy were obtained finally.
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