We investigate the origin of the soft X-ray excess emission from narrow-line
Seyfert 1 galaxies Akn564 and Mrk1044 using XMM-Newton observations. We find
clear evidence for time delays between the soft and hard X-ray emission from
Akn564 based on a 100ks long observation. The variations in the 4-10keV band
lag behind that in the 0.2-0.5keV band by 1768+/-122s. The full band power
density spectrum (PDS) of Akn~564 has a break at ~1.2e-3Hz with power-law
indices of ~1 and ~3 below and above the break. The hard (3-10keV) band PDS is
stronger and flatter than that in the soft (0.2-0.5keV) band. Based on a short
observation of Mrk1044, we find no correlation between the 0.2-0.3keV and
5-10keV bands at zero lag. These observations imply that the soft excess is not
the reprocessed hard X-ray emission. The high resolution spectrum of Akn564
obtained with the RGS shows evidence for a highly ionized and another weakly
ionized warm absorber medium. The smeared wind and blurred ionized reflection
models do not describe the pn data adequately. The spectrum is consistent with
a complex model consisting of optically thick Comptonization in a cool plasma
for the soft excess and a steep power-law, modified by two warm absorber media
as inferred from the RGS data and the foreground Galactic absorption. The
smeared wind and optically thick Comptonization models both describe the
spectrum of Mrk1044 satisfactorily, but the ionized reflection model requires
extreme parameters. The data suggest two component corona -- a cool, optically
thick corona for the soft excess and a hot corona for the power-law component.
The existence of a break in the soft band PDS suggests a compact cool corona
that can either be an ionized surface of the inner disk or an inner optically
thick region coupled to a truncated disk.Comment: Accepted for publication in ApJ, 19 page