Using a picosecond pump-probe ultrasonic technique, we study the propagation of high-amplitude, laser-generated longitudinal coherent acoustic pulses in the viscoelastic fragile glass former DC704. We observe an increase of almost 10% in acoustic pulse propagation speed at the highest optical pump fluence which is a result of the supersonic nature of nonlinear propagation in the viscous medium. From our measurement, we deduce the nonlinear acoustic parameter of the glass former in the gigahertz frequency range across the glass transition temperature. DOI: 10.1103/PhysRevLett.114.065701 PACS numbers: 64.70.P-, 62.50.-p, 62.60.+v The observation of laser-driven shock wave propagation provides direct experimental access to the equations of state of strongly compressed materials. This information is of paramount importance for geophysics, astrophysics [1], and inertial confinement fusion [2]. For many years, measurements of shock velocities have been possible through transit time measurements [3]. Only recently, single-shot optical velocity interferometry [2,4-9] allowed direct access to the dynamics of shock front motion in transparent solids but has been restricted to experimental configurations where the shock transforms the medium into a new, highly reflecting phase. Through this technique, the decay of both plane [4,7] and convergent [9,10] shocks with pressures exceeding tens of GPa have been reported. The propagation of shock waves in soft transparent materials such as polycarbonate and PMMA has been observed by single-shot ultrafast dynamic ellipsometry [11,12], a method allowing the separation of pressureinduced variations in elastic and optical properties. In such materials, characteristic pressures ranged from a few to 10-20 GPa, and acoustic Mach numbers defined as M A ¼ u=v 0 , where u is the particle velocity and v 0 the linear acoustic velocity, were subsonic in the range 0.2 < M A < 0.9. Very recently, the propagation of weak shock waves with Mach numbers M A < 0.1 and pressures below the damage threshold of the sample has been observed in thin sapphire slabs through ultrafast optical reflectivity [13], in a 4:1 methanol-ethanol mixture in a diamond anvil cell by ultrafast velocity interferometry [14], in a piezoelectric thin film through terahertz spectroscopy [15], and in a gold film through ultrafast plasmon interferometry [16] and ultrafast optical imaging [17]. In such weakly nonlinear acoustics experiments [18], no variation of the weak shock wave velocity during propagation has been reported to date. In a different manner, an indication for the nonlinearity of picosecond acoustic pulses with Mach numbers 0.0007 < M A < 0.0018 and their decay within 1-3 mm propagation distances has been observed by classical Brillouin spectroscopy [19] through measurement of the distribution of 22 GHz longitudinal phonons along the acoustic pulse trajectory. In such experiments, information on wide-frequency-band nonlinear waves is obtained from the spatial distribution of a single Brillouin frequency compo...