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Chiral solitons in a quantum potential
Authors:Jyh-Hao Lee  O K Pashaev
Institution:(1) Institute of Mathematics, Academia Sinica, Taipei, Taiwan;(2) Department of Mathematics, Izmir Institute of Technology, Urla-Izmir, Turkey
Abstract:We study chiral solitons in a quantum potential using a dimensional reduction of the problem for (2+1)-dimensional anyons. We show that the integrable version of the model is described by a family of the resonant derivative nonlinear Schrödinger equations. For a quantum potential strength s > 1, we show that the chiral soliton interaction has a resonance. We investigate the semiclassical quantization procedure for solitons.
Keywords:chiral soliton  quantum potential  dimensional reduction
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