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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 213, Number 3, Pages 459–481
DOI: https://doi.org/10.4213/tmf10338 (Mi tmf10338) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Long-time asymptotics for the nonlocal Kundu–nonlinear-Schrödinger equation by the nonlinear steepest descent method

Jian Lia, Tiecheng Xiaa, Handong Guob

a Department of Mathematics, Shanghai University, Shanghai, China
b College of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, China
Full-text PDF (582 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf10338
Abstract: We study the long-time asymptotics of the nonlocal Kundu–nonlinear-Schrödinger equation with a decaying initial value. The long-time asymptotics of the solution follow from the nonlinear steepest descent method proposed by Deift–Zhou and the Riemann–Hilbert method.
Keywords: long-time asymptotics, nonlocal Kundu–nonlinear-Schrödinger equation, nonlinear steepest descent method, Riemann–Hilbert method.
Funding agency Grant number
National Natural Science Foundation of China 11975145
The work is in part supported by the National Natural Science Foundation of China (grant No. 11975145).
Received: 19.07.2022
Revised: 19.07.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 213, Issue 3, Pages 1706–1726
DOI: https://doi.org/10.1134/S0040577922120054
Bibliographic databases:
Document Type: Article
MSC: 35Q51; 35Q15; 37K10.
Language: Russian
Citation: Jian Li, Tiecheng Xia, Handong Guo, “Long-time asymptotics for the nonlocal Kundu–nonlinear-Schrödinger equation by the nonlinear steepest descent method”, TMF, 213:3 (2022), 459–481; Theoret. and Math. Phys., 213:3 (2022), 1706–1726
Citation in format AMSBIB
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\by Jian~Li, Tiecheng~Xia, Handong~Guo
\paper Long-time asymptotics for the~nonlocal Kundu--nonlinear-Schr\"{o}dinger equation by the~nonlinear steepest descent method
\jour TMF
\yr 2022
\vol 213
\issue 3
\pages 459--481
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\crossref{https://doi.org/10.4213/tmf10338}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4538878}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...213.1706L}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 213
\issue 3
\pages 1706--1726
\crossref{https://doi.org/10.1134/S0040577922120054}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85144888199}
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    • This publication is cited in the following 9 articles:
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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