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This manuscript, presents a theoretical study of the linear and nonlinearcharacteristics of acoustic and drift waves in a bounded inhomogenious dustyplasma which has potential applications in space and lab environments. In thisanalysis, flow of all plasma particles is assumed to be along the axialdirection whereas gradients in velocity are considered to be along the radialdirection. First we study coupling of dust modified ion acoustic (DMA) anddrift (DMD) waves (linear analysis) at fast time when dynamics of dust remaininactive, later formation of nonlinear vortex like structures are examined. Inthe second case at slow time when dust participates in dynamics, couplingbetween ultra low frequency dust acoustic (UDA) and dust drift (ULD) waves isstudied and modons like solutions are obtained in the nonlinear analysis.Existence of the vortex solution with azimuthal harmonics higher than thedipole vortex has been studied both analytically and numerically. Later weextend our analysis to consider applications of dust particle's presence in thecomet Halley and tropical mesospheric dusty plasma where in earlier case wereport that that unexpectedly comet Halley plasma admits a new mode wherepresence of dust in background does not have any affect, this mode is similarto the convective cell mode where electrostatic drift (ExB) cancels out,density gradients also vanish due to the presence of negative ions and onlypolarization drift contributes to the mode. For the linear analysis of thismode, there is no coupling observed but this the convective cell mode evolveswhereas nonlinear dynamics of this mode are found to obey the vortex-likesolution.

Coupling of acoustic and drift modes, harmonic modons in astrophysical dusty plasma and a new mode in the Comet Halley