  This manuscript, presents a theoretical study of the linear and nonlinear
characteristics of acoustic and drift waves in a bounded inhomogenious dusty
plasma which has potential applications in space and lab environments. In this
analysis, flow of all plasma particles is assumed to be along the axial
direction whereas gradients in velocity are considered to be along the radial
direction. First we study coupling of dust modified ion acoustic (DMA) and
drift (DMD) waves (linear analysis) at fast time when dynamics of dust remain
inactive, later formation of nonlinear vortex like structures are examined. In
the second case at slow time when dust participates in dynamics, coupling
between ultra low frequency dust acoustic (UDA) and dust drift (ULD) waves is
studied and modons like solutions are obtained in the nonlinear analysis.
Existence of the vortex solution with azimuthal harmonics higher than the
dipole vortex has been studied both analytically and numerically. Later we
extend our analysis to consider applications of dust particle's presence in the
comet Halley and tropical mesospheric dusty plasma where in earlier case we
report that that unexpectedly comet Halley plasma admits a new mode where
presence of dust in background does not have any affect, this mode is similar
to the convective cell mode where electrostatic drift (ExB) cancels out,
density gradients also vanish due to the presence of negative ions and only
polarization drift contributes to the mode. For the linear analysis of this
mode, there is no coupling observed but this the convective cell mode evolves
whereas nonlinear dynamics of this mode are found to obey the vortex-like
solution.
