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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 212, Number 3, Pages 354–373
DOI: https://doi.org/10.4213/tmf10254 (Mi tmf10254) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation

Xiu-Bin Wang, Sh.-F. Tian

School of Mathematics, China University of Mining and Technology, Xuzhou, China
Full-text PDF (1338 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf10254
Abstract: We theoretically calculate general higher-order soliton solutions of the space-shifted parity–time-symmetric nonlocal multicomponent nonlinear Schrödinger equation via a Darboux dressing transformation with an asymptotic expansion method. A family of solutions is presented in separating variables. In particular, the obtained solutions contain rich dynamical patterns, most of which have no counterparts in the corresponding local nonlinear Schrödinger equation. These results may contribute to explaining and enriching the corresponding nonlinear wave phenomena emerging in nonlocal wave modes.
Keywords: integrable shifted nonlocal multicomponent nonlinear Schrödinger equation, Darboux dressing transformation, solitons.
Funding agency Grant number
National Natural Science Foundation of China 11975306
This work is supported by the National Natural Science Foundation of China under grant No. 11975306.
Received: 20.01.2022
Revised: 07.03.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 212, Issue 3, Pages 1193–1210
DOI: https://doi.org/10.1134/S0040577922090033
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Xiu-Bin Wang, Sh.-F. Tian, “Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation”, TMF, 212:3 (2022), 354–373; Theoret. and Math. Phys., 212:3 (2022), 1193–1210
Citation in format AMSBIB
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\by Xiu-Bin~Wang, Sh.-F.~Tian
\paper Exotic localized waves in the~shifted nonlocal multicomponent nonlinear Schr\"{o}dinger equation
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\yr 2022
\vol 212
\issue 3
\pages 354--373
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\crossref{https://doi.org/10.4213/tmf10254}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...212.1193W}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 212
\issue 3
\pages 1193--1210
\crossref{https://doi.org/10.1134/S0040577922090033}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85139218018}
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  • https://www.mathnet.ru/eng/tmf/v212/i3/p354
    • This publication is cited in the following 12 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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