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Exact localized nonlinear dust kinetic Alfvén waves are investigated by retaining the complete dust nonlinearity and by invoking small but finite-β effects in a collisionless plasma, whose constituents are electrons, ions and negatively charged dust grains. Sub-Alfvénic, as well as super-Alfvénic, solitary waves consisting of smooth density humps or dips are found to exist. Further, super-Alfvénic kink type solitons are also found to occur. The soliton amplitude depends upon various plasma parameters along with the soliton propagation speed. The results of the present investigation may be useful in the diagnostics of dust in magnetized plasmas and in understanding the formation of coherent soliton structures in space and laboratory plasmas.

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This article studies the porous deformation channel flow of a viscous fluid through a porous medium. Both the analytical and numerical solutions are obtained by using homotopy perturbation and shooting methods respectively. A good agreement between analytical and numerical solutions is achieved. Furthermore, the graphical results of velocity, streamlines, normal pressure distribution and shear stress are presented for various values of emerging parameters.

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A parametric study of electromagnetic effects on toroidal momentum transport has been performed. The work is based on a new version of the Weiland model where symmetry breaking toroidicity effects derived from the stress tensor have been taken into account. The model includes a self-consistent calculation of the toroidal momentum diffusivity, which contains both diagonal and off-diagonal contributions to the momentum flux. It is found that electromagnetic effects considerably increase the toroidal momentum pinch. They are sometimes strong enough to make the total toroidal momentum flux inward.