  The evolution of isotropic, nondispersive, inertial wave, emerging from an
unsteady initial coherent vortex is studied for strongly correlated Yukawa
medium using 2D molecular dynamics simulation. In this study, the effect of
azimuthal speed of vortex source, strong correlation, large screening and the
compressibility of the medium over the propagation of generated inertial wave
have been presented. It has been observed that these inertial waves only exist
when the speed of the vortex source (U_0) is larger or equal to the
longitudinal sound speed of the system. Estimated speed of the nonlinear wave
(C_NLW ) is found to be always larger than the transverse sound speed (C_t ) of
the system for the range of coupling and screening parameters. In this study,
we find that spontaneously generated nonlinear inertial wave speed in Yukawa
medium is suppressed by compressibility and dust-neutral a drag of the system
and is less sensitive to coupling strength. A transition from incompressible to
compressible Yukawa liquid is observed. This transition depends on the
screening parameter and azimuthal speed of vortex source. The existence of a
critical Mach number Mc~0.35 is found above which nonlinear wave is found to
exists, indicating the compressible nature of the medium.
