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Nonlinear propagation of electrostatic modes in ultrarelativistic denseelelectron-positron gravito-plasma at the polar cap region of pulsarmagnetosphere is considered. A nonlinear Schr\"{o}dinger equation is obtainedfrom the reductive perturbation method which predicts the existence of Langmuirdark solitons. Relevance of the propagating dark solitons to the pulsar radioemission is discussed.

Langmuir dark solitons in dense ultrarelativistic electron-positron gravito-plasma in pulsar magnetosphere