  A microscopic treatment of edge magnetoplasmons (EMPs) is presented for the
case of not-too-low temperatures in which the inequality $k_{B}T\gg \hbar
v_{g}/\ell_{0}$, where $v_{g}$ is the group velocity of the edge states and
$\ell_{0}$ is the magnetic length, is fulfilled, and for filling factors $\nu
=1(2)$. We have obtained independent EMP modes spatially symmetric and
antisymmetric with respect to the edge. We describe in detail the spatial
structure and dispersion relations of the new edge waves (edge helicons,
dipole, quadrupole and octupole EMPs), which have the characteristic length
$\ell_{T}=\ell_{0}^{2}k_{B}T/\hbar v_{g}$. We have found that, in contrast to
well-known results for a spatially homogeneous dissipation within the channel,
the damping of the fundamental EMP at not-too-low temperatures is not quantized
and has a $T^{-1}$ dependence.
