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The nonlinear interaction of ultra-intense short laser beam and inhomogeneous electron-positron-ion (e-p-i) plasma is investigated.It is found that the presence of positrons and inhomogeneity results in strong modulational and filamentational instabilities, which induce strong nonlinear interaction between the laser beam and the inhomogeneous e-p-i plasma.Light beam focusing, filamentation, trapping and nonlinear interaction between the trapped light spots and inhomogeneous plasma are observed.