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We argue that the critical behaviour near the point of ``gradientcatastrophe" of the solution to the Cauchy problem for the focusing nonlinearSchr\"odinger equation $ i\epsilon \psi_t +\frac{\epsilon^2}2\psi_{xx}+|\psi|^2 \psi =0$ with analytic initial data of the form $\psi(x,0;\epsilon)=A(x) e^{\frac{i}{\epsilon} S(x)}$ is approximately described by a particularsolution to the Painlev\'e-I equation.

On universality of critical behaviour in the focusing nonlinear  Schr\"odinger equation, elliptic umbilic catastrophe and the {\it  tritronqu\'ee} solution to the Painlev\'e-I equation