On the classification and nonlinear solution of one type of stratified shear flow

One type of progressive wave motion is considered and a set of two-variable ordinary differential equations is derived for the selfgoverning dynamic system of this type of fluid motion. The geometric topological structure of the integration curve was analyzed qualitatively in the vicinity of the origin of a phase plane which used the perturbation velocity and density as coordinates. The effects of the shear d(bar u)/dz and Richardson number on the stability of the flow within the stratified shear flows were examined. The nonlinear internal gravity wave equation for stratified shear fluid was investigated.