Geodesic
Chiral solitons in a quantum potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 160 (2009) no. 1, pp. 133-142 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] O. K. Pashaev, J.-H. Lee, Modern Phys. Lett. A, 17:24 (2002), 1601–1619 | DOI | Zbl

[2] J.-H. Lee, O. K. Pashaev, C. Rogers, W. K. Schief, J. Plasma Phys., 73:2 (2007), 257–272 | DOI

[3] O. K. Pashaev, J.-H. Lee, Chaos Solitons Fractals, 11:14 (2000), 2193–2202 | DOI | MR | Zbl

[4] O. K. Pashaev, Nucl. Phys. B, 57:1–3 (1997), 338–341 | DOI | MR | Zbl

[5] U. Aglietti, L. Griguolo, R. Jackiw, S.-Y. Pi, D. Seminaraet, Phys. Rev. Lett., 77:21 (1996), 4406–4409 ; R. Jackiw, J. Nonlinear Math. Phys., 4:3–4 (1997), 261–270 ; H. Min, Q.-H. Park, Phys. Lett. B, 388:3 (1996), 621–625 | DOI | DOI | MR | Zbl | DOI | MR | Zbl

[6] J.-H. Lee, C.-K. Lin, O. K. Pashaev, Chaos Solitons Fractals, 19:1 (2004), 109–128 | DOI | MR | Zbl