  In Ref.[1] [Phys. Rev. B. {\bf 42}, 2290 (1990)] we used a rigorous
projection operator collective variable formalism for nonlinear Klein-Gordon
equations to prove the continuum Sine-Gordon (SG) equation has a long lived
quasimode whose frequency $\omega_s$= 1.004 $\Gamma_0$ is in the continuum just
above the lower phonon band edge with a lifetime ($1/\tau_s$) = 0.0017
$\Gamma_0$. We confirmed the analytic calculations by simulations which agreed
very closely with the analytic results. In Ref.[3] [Phys. Rev. E. {\bf 62}, R60
(2000)] the authors performed two numerical investigations which they asserted
``show that neither intrinsic internal modes nor quasimodes exist in contrast
to previous results.'' In this paper we prove their first numerical
investigation could not possibly observe the quasimode in principle and their
second numerical investigation actually demonstrates the existence of the SG
quasimode. Our analytic calculations and verifying simulations were performed
for a stationary Sine-Gordon soliton fixed at the origin. Yet the authors in
Ref.[3] state the explanation of our analytic simulations and confirming
simulations are due to the Doppler shift of the phonons emitted by our
stationary Sine-Gordon soliton which thus has a zero Doppler shift.
