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The 3-D exact analytical solutions of ideal two fluid plasma, single fluidplasma (MHD) and neutral fluid equations have been found using physicallyjustifiable assumptions. Surprisingly these solutions satisfy allnon-linearities in the systems. It is pointed out that these solutions explainthe fundamental mechanism behind the creation of vast variety of orderedstructures in plasmas and fluids. In the limiting case of two dimensional (2-D)dependence of fields, the theoretical model for plasma is applied to explainthe formation of spicules in solar chromosphere. It is pointed out that themain contribution of electron (ion) baro clinic vectors is to produce vorticityin the plasma and that magnetic field generation is coupled with the flow ofboth electrons and ions.

3-D exact analytical solutions of two fluid plasma, MHD and neutral fluid equations for the creation of ordered structures as well as jet-like flows