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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 212, Number 3, Pages 386–402
DOI: https://doi.org/10.4213/tmf10171 (Mi tmf10171) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Riemann–Hilbert approach and $N$-soliton solutions of the two-component Kundu–Eckhaus equation

Chunjiang Wanga, Jian Zhangb

a School of Mathematical Sciences, Sichuan Normal University, Chengdu, China
b School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China
Full-text PDF (684 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf10171
Abstract: We study the two-component Kundu–Eckhaus equation with a zero boundary condition at infinity. Based on the spectral analysis of the Lax pair, a Riemann–Hilbert problem is established. An $N$-soliton solution is then obtained by solving the regular and nonregular Riemann–Hilbert problems.
Keywords: $N$-soliton solution, two-component Kundu–Eckhaus equation, Riemann–Hilbert approach, Lax pair, spectral analysis.
Funding agency Grant number
National Natural Science Foundation of China 11871138
This research is supported by the National Natural Science Foundation of China (grant No. 11871138).
Received: 21.09.2021
Revised: 03.03.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 212, Issue 3, Pages 1222–1236
DOI: https://doi.org/10.1134/S0040577922090057
Bibliographic databases:
Document Type: Article
MSC: 35Q55; 35Q51; 37K40.
Language: Russian
Citation: Chunjiang Wang, Jian Zhang, “Riemann–Hilbert approach and $N$-soliton solutions of the two-component Kundu–Eckhaus equation”, TMF, 212:3 (2022), 386–402; Theoret. and Math. Phys., 212:3 (2022), 1222–1236
Citation in format AMSBIB
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\by Chunjiang~Wang, Jian~Zhang
\paper Riemann--Hilbert approach and $N$-soliton solutions of the~two-component Kundu--Eckhaus equation
\jour TMF
\yr 2022
\vol 212
\issue 3
\pages 386--402
\mathnet{http://mi.mathnet.ru/tmf10171}
\crossref{https://doi.org/10.4213/tmf10171}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4538847}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...212.1222W}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 212
\issue 3
\pages 1222--1236
\crossref{https://doi.org/10.1134/S0040577922090057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85139232864}
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    • This publication is cited in the following 1 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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