Example of shock wave in unstaible medium: The focusing nonlinear Schrodinger equation

Dissipationless shock waves in modulational unstable one-dimensional medium are investigated on the simplest example of integrable focusing nonlinear Schr\''odinger (NS) equation. Our approach is based on the construction of special exact solution of the Whitham-NS system, which ''partially saturates'' the modulational instability.Comment: 4 pages, LaTEX, version 2.09, submitted to Phys. Lett.