| Summary: | We propose a scheme to generate and stabilize one- and two-dimensional dark, bright, dark-like, bright-like solitons, and vortices with m = 1 and m = 2 in a nonresonantly incoherent pumped exciton–polariton condensate. A spatially modulating pumping is introduced, which can compensate (counteract) the loss (gain) originated from the nonlinear excitation of the stable homogeneous polariton. The numerical simulations show that the balance between the gain and loss in this scheme can support and stabilize various nonlinear modes, not just stable dark solitons which have been found in the previous studies. Our proposal may provide a way to generate, stabilize, and control nonlinear modes in the nonresonantly pumped exciton–polariton system.
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