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Landau dynamics of a grey soliton in a trapped condensate

Vladimir V. Konotop·Lev Pitaevskii
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Abstract

It is shown that grey soliton dynamics in an one-dimensional trap can be treated as Landau dynamics of a quasi-particle. A soliton of arbitrary amplitude moves in the trapping potential without deformation of its density profile as a particle of mass $2m$. The dynamics in the local density approximation is shown to be consistent with the perturbation theory for dark solitons. Dynamics of a vortex ring in a trap is discussed qualitatively.

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Vladimir V. Konotop, Lev Pitaevskii. 2004-08-30. Landau dynamics of a grey soliton in a trapped condensate. https://doi.org/10.1103/physrevlett.93.240403

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