The temporal evolution of magnetohydrodynamic waves in solar coronal l
oops is studied by means of numerical simulations. Coronal loops am re
presented by smoothed slabs of enhanced gas density embedded within a
uniform magnetic field. The simulations show that for a smoothed densi
ty profile them is an energy leakage from the slab, associated with th
e propagation of sausage and kink waves. This leakage is responsible f
or a cross-talk between two parallel stabs. It is found that the prese
nce of a second slab causes an asymmetry in the flow which is perpendi
cular to the slabs. This asymmetry is a result of a total reflection w
hich occurs at the second slab and causes wave trapping. As the kink w
ave is mom robust than the sausage wave, the kink-kink wave interactio
n is weak whereas the sausage-kink wave interaction can lead to a dest
ruction of the sausage wave. Impulsively generated waves in the parall
el slabs exhibit periodic, quasi-periodic and decay phases in an accor
dance with some observations. Time-signatures of such waves am mom com
plicated than for an isolated slab as a presence of the second slab ca
uses the wave propagation asymmetric.