Induced focusing and all optical switching in cubic quintic nonlinear media

In this paper, we have presented the evolution of two spatially separated laser beams which are propagating in a cubic quintic nonlinear media. Variational formalism has been employed for the derivation of evolution equations of several parameters relevant to laser beams. We have shown that due to mutual nonlinear interaction two parallel circular Gaussian beams become elliptical Gaussian after traveling finite distance. It is revealed that though in the Kerr media no stable composite bound state exists, oscillating stationary bound state exists in quintic media. Dragging and trapping of a weak laser beam by a strong laser beam has been discussed. The role of quintic nonlinearities in induced focusing, formation of composite bound states, soliton dragging and on all optical switching have been highlighted.