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Soliton stability criterion in a non-ideal Bose gas

М. М. БогданPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, KharkovA. S. KovalevPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, KharkovA. M. KosevichPhysicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR, Kharkov
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It is shown that the two-valued form of the dispersion relation curve for solitons can lead to qualitative and quantitative criteria for soliton stability from the terminal point of the spectrum. The criteria are found to be in accord with the results of direct investigations of stability.

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