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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 211, Number 1, Pages 84–104
DOI: https://doi.org/10.4213/tmf10073 (Mi tmf10073) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Integration of a defocusing nonlinear Schrödinger equation with additional terms

U. B. Muminov, A. B. Khasanov

Samarkand State University, Samarkand, Uzbekistan
Full-text PDF (484 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf10073
Abstract: The inverse spectral problem method is used to integrate the nonlinear Schrödinger equation with some additional terms in the class of infinite-gap periodic functions. We reveal the evolution of spectral data for a periodic Dirac operator whose coefficients solve the Cauchy problem for a nonlinear Schrödinger equation with some additional terms. Several examples are given to illustrate the algorithm described in the paper.
Keywords: nonlinear Schrödinger equation, Dirac operator, spectral data, inverse spectral problem, system of Dubrovin equations, trace formulas.
Received: 03.02.2021
Revised: 16.05.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 211, Issue 1, Pages 514–531
DOI: https://doi.org/10.1134/S0040577922040067
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: U. B. Muminov, A. B. Khasanov, “Integration of a defocusing nonlinear Schrödinger equation with additional terms”, TMF, 211:1 (2022), 84–104; Theoret. and Math. Phys., 211:1 (2022), 514–531
Citation in format AMSBIB
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\by U.~B.~Muminov, A.~B.~Khasanov
\paper Integration of a~defocusing nonlinear Schr\"odinger equation with additional terms
\jour TMF
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\vol 211
\issue 1
\pages 84--104
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\crossref{https://doi.org/10.4213/tmf10073}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...211..514M}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 211
\issue 1
\pages 514--531
\crossref{https://doi.org/10.1134/S0040577922040067}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85128929860}
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  • https://doi.org/10.4213/tmf10073
  • https://www.mathnet.ru/eng/tmf/v211/i1/p84
    • This publication is cited in the following 8 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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