Abstract
In this paper, we construct the dispersionless coupled constrained KP hierarchy. We also introduce vital formal Laurent series [Formula: see text] to construct new flows, which lead out the additional symmetries of the dispersionless coupled constrained KP hierarchy. The additional flows construct a sub-algebra of the Virasoro algebra. In addition, we give the additional flows acting on [Formula: see text] and [Formula: see text] of the dispersionless coupled constrained KP hierarchy.
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