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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 160, Number 1, Pages 133–142
DOI: https://doi.org/10.4213/tmf6385 (Mi tmf6385) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Chiral solitons in a quantum potential

Lee Jyh-Haoa, O. K. Pashaevb

a Institute of Mathematics, Academia Sinica
b Izmir Institute of Technology
Full-text PDF (432 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6385
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.
Received: 14.07.2009
English version:
Theoretical and Mathematical Physics, 2009, Volume 160, Issue 1, Pages 986–994
DOI: https://doi.org/10.1007/s11232-009-0089-0
Bibliographic databases:
Language: Russian
Citation: Lee Jyh-Hao, O. K. Pashaev, “Chiral solitons in a quantum potential”, TMF, 160:1 (2009), 133–142; Theoret. and Math. Phys., 160:1 (2009), 986–994
Citation in format AMSBIB
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\paper Chiral solitons in a~quantum potential
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\jour Theoret. and Math. Phys.
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\pages 986--994
\crossref{https://doi.org/10.1007/s11232-009-0089-0}
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  • https://www.mathnet.ru/eng/tmf/v160/i1/p133
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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