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We consider the Painleve asymptotics for a solution of integrable coupledHirota equationwith a 3*3 Lax pair whose initial data decay rapidly atinfinity. Using Riemann-Hilbert techniques and Deift-Zhou nonlinear steepestdescent arguments, in a transition zone defined by /x/t-1/(12a)/t^2/3<=C, whereC>0 is a constant, it turns out that the leading-order term to the solution canbe expressed in terms of the solution of a coupled Painleve II equationassociated with a 3*3 matrix Riemann-Hilbert problem.

The coupled hirota equation with a 3*3 lax pair: painleve-type asymptotics in transition zone