The Rayleigh-Taylor (RT) vortices and the analytical solution of three-mode coupling in pair-ion plasmas are investigated. It is shown that the E Â B convection of polarization drift is responsible for the saturation of growing RT instability and as a result the localized dipole vortex structures are formed. The shear flow generation due to the destruction of vortex structures is discussed by the Fourier mode analysis. V C 2015 AIP Publishing LLC. [http://dx.The Rayleigh-Taylor (RT) instability plays an important role in a wide range of physical phenomena ranging from the inertial confinement fusion to astrophysical phenomena such as supernova explosion. 1 In general, when the heavy fluid is supported by a lighter fluid against the gravity, the heavy fluid penetrates down and, consequently, the lighter fluid also pushes to the top to reach the equilibrium with perturbation. This triggers an instability known as RT instability, 2,3 which is also studied by many workers for space and laboratory plasmas. [4][5][6][7] Moreover, this RT instability saturates nonlinearly. 8-10 Due to the external velocity shear, RT modes can also be nonlinearly saturated. 11 Also, due to the nonlinear interactions (mode coupling), shear flow generates self-consistently, which reduces the growth rate of interchange-like instability and thereby saturates the RT instability. 12 Apart from these works, our recent work shows that the RT instability is profoundly present in a pair-ion plasma 13 consisting of fullerene positive and negative ions (C þ 60 and C À 60 ) with equal masses. Such type of pair plasmas have been observed in laboratory. 14,15 The formation mechanism of pair plasmas was developed by Oohara and Hatakeyama, 16 which consists of positive and negative ions (C þ 60 and C À 60 ) of fullerene with equal masses and slightly different temperatures. Space-time symmetry of pair-ion plasma arises due to the same mobility of both ions in electromagnetic fields. Due to this symmetry, new collective modes have been analyzed in such a plasma in contrast to the normal electron-ion plasma with wide mass difference. Various works [17][18][19][20] have been done to investigate the linear and nonlinear collective modes in such a plasma.The aim of the present investigation is to study the formation of two dimensional nonlinear vortex structures and electrostatic turbulence in experimentally observed pair-ion plasmas in presence of density inhomogeneity, uniform magnetic field, and constant gravity. It is shown that the saturation of RT instability occurs due to the E Â B convection of the polarization drift that forms localized dipole vortex structures. In this paper, we have derived the localized vortex solution in a moving frame and demonstrated that due to the destruction of vortex, different modes are coupled and generates self-consistent shear flow. It is well-known that these mode coupling and shear flow generation mechanism can be well explained by the Fourier mode representation. 21 Following the procedure of Ref. 21, we solve the Fo...