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We propose an indirect method to observe radiation from an incomplete solitonwith sufficiently large amplitude. We show that the radiation causes a notchedstructure on the envelope of the wave packet in the momentum space. The originof this structure is a result of interference between the main body ofoscillating solitons and the small radiation in the momentum space. Wenumerically integrate the nonlinear Schr\"odinger equation and perform Fouriertransformation to confirm that the predicted structure really appears. We alsoshow the simple model which reproduces the qualitative result. Experimentaldetection of the notched structure with Bose-Einstein condensation of neutralatoms is discussed and suitable parameters for this detection experiment areshown.

journal of the physical society of japan

Interference Pattern Formation between Bounded-Solitons and Radiation in  Momentum Space: Possible Detection of Radiation from Bounded-Solitons with  Bose-Einstein Condensate of Neutral Atoms