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Interaction of two one-dimensional Bose-Einstein solitons: chaos and energy exchange
P V Elyutin1, A V Buryak, V V Gubernov
1School of Mathematics and Statistics, Australian Defence Force Academy, Canberra, ACT 2600, Australia.
Abstract:
We analyze the bright soliton interactions of a Bose-Einstein condensate in quasi-one-dimensional traps putting an emphasis on integrability break down due to a trapping potential. In particular, we derive a simple analytical model, which describes well all major features of soliton dynamics including chaos and energy exchange between interacting solitons induced by the trapping potential.