  Analytical and numerical procedures are applied to show that both third and
second order dispersion maps can be explicitly constructed and their mutual
effects on the optical pulse propagation are analysed. In these connection it
is also shown how the other important features such as amplification,
intra-channel Raman Scattering(IRS), fibre loss, centre frequency of the pulse
spectrum effect the propagation of pulse. Due to the presence of IRS, moment
method is adopted which is easily reduced to usual Hamiltonian technique in
absence of IRS. It is observed that the long time periodic behaviour is
stabilized by the third order dispersion map. Though the introduction of IRS
and other effects perturb the situation, one can observe that except for a very
special case it remains stable
