Geodesic
Chiral solitons in a~quantum potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 1, pp. 133-142

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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.
Mots-clés : chiral soliton
Keywords: quantum potential, dimensional reduction. 
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     author = {Lee Jyh-Hao and O. K. Pashaev},
     title = {Chiral solitons in a~quantum potential},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
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     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_160_1_a12/}
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Lee Jyh-Hao; O. K. Pashaev. Chiral solitons in a~quantum potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 1, pp. 133-142. http://geodesic.mathdoc.fr/item/TMF_2009_160_1_a12/