Abstract
Using the explicit numerical solution of the axially symmetric Gross–Pitaevskiiequation we study the dynamics of interaction among vortex solitons in a rotatingmatter-wave bright soliton train in a radially trapped and axially free Bose–Einsteincondensate to understand certain features of the experiment by Strecker et al (2002 Nature 417 150). In a soliton train, solitons of opposite phase (phaseδ = π)repel and stay apart without changing shape; solitons withδ = 0 attract, interact and coalesce, but eventually come out; solitons with a generalδ usually repel but interact inelastically by exchanging matter. We study this and suggestfuture experiments with vortex solitons.
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