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The theory of linear wave structures generated in Bose-Einstein condensateflow past an obstacle is developed. The shape of wave crests and dependence ofamplitude on coordinates far enough from the obstacle are calculated. Theresults are in good agreement with the results of numerical simulationsobtained earlier. The theory gives a qualitative description of experimentswith Bose-Einstein condensate flow past an obstacle after condensate's releasefrom a trap.

Generation of linear waves in the flow of Bose-Einstein condensate past an obstacle