Nonlinear Rayleigh-Taylor instability of the cylindrical fluid flow with mass and heat transfer

The nonlinear Rayleigh-Taylor stability of the cylindrical interface between the vapour and liquid phases of a fluid is studied. The phases enclosed between two cylindrical surfaces coaxial with mass and heat transfer is derived from nonlinear Ginzburg-Landau equation. The F-expansion method is used to get exact solutions for a nonlinear Ginzburg-Landau equation. The region of solutions is displayed graphically.