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