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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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\by Lee~Jyh-Hao, O.~K.~Pashaev
\paper Chiral solitons in a~quantum potential
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009TMP...160..986L}
\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 160
\issue 1
\pages 986--994
\crossref{https://doi.org/10.1007/s11232-009-0089-0}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000269118900013}
Linking options:
  • https://www.mathnet.ru/eng/tmf6385
  • https://doi.org/10.4213/tmf6385
  • https://www.mathnet.ru/eng/tmf/v160/i1/p133
    • This publication is cited in the following 2 articles:
    1. Oktay K. Pashaev, Jyh-Hao Lee, “Relativistic DNLS and Kaup–Newell Hierarchy”, SIGMA, 13 (2017), 058, 13 pp.  mathnet  crossref
    2. Lee J.-H., Pashaev O.K., “Chiral Resonant Solitons in Chern–Simons Theory and Broer-Kaup Type New Hydrodynamic Systems”, Chaos Solitons Fractals, 45:8 (2012), 1041–1047  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :212
    References:65
    First page:7
     
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