  We study sound propagation in Bose-condensed gases in a highly-elongated
harmonic trap at finite temperatures. This problem is studied within the
framework of Zaremba-Nikuni-Griffin (ZNG) formalism, which consistent of a
generalized Gross-Pitaevskii (GP) equation for the condensate and the kinetic
equation for a thermal cloud. We extend the ZNG formalism to deal with a
highly-anisotropic trap potential, and use it to simulate sound propagation
using the trap parameters corresponding to the experiment on sound pulse
propagation at finite temperature. We focus on the high-density two-fluid
hydrodynamic regime, and explore the possibility of observing first and second
sound pulse propagation. The results of numerical simulation are compared with
an analyitical results derived from linearized ZNG hydrodynamic equations. We
show that the second sound mode makes a dominant contribution to condensate
motion in relatively high temperature, while the first sound mode makes an
appreciable contribution.
