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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 214, Number 1, Pages 30–42
DOI: https://doi.org/10.4213/tmf10312 (Mi tmf10312) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Integration of the Hirota equation with time-dependent coefficients

U. A. Khoitmetov

Al-Khorezmi Urgench State University, Urgench, Uzbekistan
Full-text PDF (449 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf10312
Abstract: The Hirota equation with time-dependent coefficients can be integrated in the class of rapidly decreasing functions using the inverse scattering problem. An example illustrating the application of the obtained results is given. The Cauchy problem for the loaded Hirota equation is solved in the class of rapidly decreasing functions.
Keywords: inverse scattering transform method, scattering data, Hirota equation, Gelfand–Levitan–Marchenko integral equation.
Received: 16.05.2022
Revised: 03.08.2022
English version:
Theoretical and Mathematical Physics, 2023, Volume 214, Issue 1, Pages 24–35
DOI: https://doi.org/10.1134/S0040577923010026
Bibliographic databases:
Document Type: Article
MSC: 34L25, 35P25, 37K15
Language: Russian
Citation: U. A. Khoitmetov, “Integration of the Hirota equation with time-dependent coefficients”, TMF, 214:1 (2023), 30–42; Theoret. and Math. Phys., 214:1 (2023), 24–35
Citation in format AMSBIB
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\by U.~A.~Khoitmetov
\paper Integration of the Hirota equation with time-dependent coefficients
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\pages 30--42
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\transl
\jour Theoret. and Math. Phys.
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Linking options:
  • https://www.mathnet.ru/eng/tmf10312
  • https://doi.org/10.4213/tmf10312
  • https://www.mathnet.ru/eng/tmf/v214/i1/p30
    • This publication is cited in the following 2 articles:
    1. A. B. Khasanov, A. A. Reyimberganov, “On the Hirota equation with a self-consistent source”, Theoret. and Math. Phys., 221:2 (2024), 1852–1866  mathnet  crossref  crossref  adsnasa
    2. B. A. Babajanov, A. Sh. Azamatov, R. B. Atajanova, “Integration of the Kaup–Boussinesq system with time-dependent coefficients”, Theoret. and Math. Phys., 216:1 (2023), 961–972  mathnet  crossref  crossref  mathscinet  adsnasa
    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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    References:49
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