We report an observation of the amplitude-dependent velocity increase
of first sound in superfluid He-4. We performed a precise sound-veloci
ty measurement at a frequency of 430 MHz in superfluid He-4 as a funct
ion of sound amplitude. In the pressure region higher than 18 atm, we
found that the velocity of sound begins to increase as the sound ampli
tude is raised above the threshold power of 0.5 W/m(2) The effect beco
mes more conspicuous with increasing pressure and input power density,
and at 22.5 atm, delta c/c reaches as much as 3 X 10(-4) at the input
power density of 50 W/m(2) In the low-pressure region less than 18 at
m, the velocity change is weak and in the opposite direction. This amp
litude-dependent velocity change is not explained by the third-order n
onlinear effect derived from Navier-Stokes equations. Despite this str
ong pressure dependence, the threshold power of the velocity change is
almost constant throughout the pressure range, and is close to the on
set power of vortex line growth, which suggests the phenomenon is rela
ted to the turbulence.