  We have considered N-dimensional Einstein field equations in which
four-dimensional space-time is described by a FRW metric and that of extra
dimensions by an Euclidean metric. We have chosen the exponential forms of
scale factors a and d numbers of b in such a way that there is no singularity
for evolution of the higher dimensional Universe. We have supposed that the
Universe is filled with K-essence, Tachyonic, Normal Scalar Field and
DBI-essence. Here we have found the nature of potential of different scalar
field and graphically analyzed the potentials and the fields for three scenario
namely Emergent Scenario, Logamediate Scenario and Intermediate Scenario. Also
graphically we have depicted the geometrical parameters named statefinder
parameters and slow-roll parameters in the higher dimensional cosmology with
the above mentioned scenarios.
