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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 210, Number 3, Pages 375–386
DOI: https://doi.org/10.4213/tmf10152 (Mi tmf10152) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Integration of the differential–difference sine-Gordon equation with a self-consistent source

B. A. Babajanov, A. K. Babadjanova, A. Sh. Azamatov

Al-Khorezmi Urgench State University, Urgench, Uzbekistan
Full-text PDF (425 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf10152
Abstract: We use the inverse scattering theory to integrate the differential–difference sine-Gordon equation with a self-consistent source.
Keywords: differential–difference sine-Gordon equation, self-consistent source, discrete Dirac-type operator, scattering data, inverse scattering method.
Received: 24.07.2021
Revised: 14.11.2021
English version:
Theoretical and Mathematical Physics, 2022, Volume 210, Issue 3, Pages 327–336
DOI: https://doi.org/10.1134/S0040577922030035
Bibliographic databases:
Document Type: Article
MSC: 39A23; 35Q51; 34K13; 34K29
Language: Russian
Citation: B. A. Babajanov, A. K. Babadjanova, A. Sh. Azamatov, “Integration of the differential–difference sine-Gordon equation with a self-consistent source”, TMF, 210:3 (2022), 375–386; Theoret. and Math. Phys., 210:3 (2022), 327–336
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf10152
  • https://www.mathnet.ru/eng/tmf/v210/i3/p375
    • This publication is cited in the following 5 articles:
    1. B. A. Babajanov, F. B. Abdikarimov, F. U. Sulaymonov, “On the Integration of the Hierarchy of the Kaup–Boussinesq System with a Self-Consistent Source”, Lobachevskii J Math, 45:7 (2024), 3233  crossref
    2. U.A. Hoitmetov, T. G. Hasanov, “Integration of the Korteweg-de Vries equation with loaded terms and a self-consistent source in the class of rapidly decreasing functions”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 33:1 (2023), 156–170  mathnet  crossref  mathscinet
    3. B. A. Babajanov, M. M. Ruzmetov, “Solution of the finite Toda lattice with self-consistent source”, Lobachevskii J. Math., 44:7 (2023), 2587  crossref  mathscinet
    4. B. Babajanov, M. Fečkan, A. Babadjanova, “On the differential-difference sine-Gordon equation with an integral type source”, Mathematica Slovaca, 73:6 (2023), 1499  crossref  mathscinet
    5. B. A. Babajanov, M. M. Ruzmetov, Sh. O. Sadullaev, “Integration of the finite complex Toda lattice with a self-consistent source”, Partial Differential Equations in Applied Mathematics, 7 (2023), 100510  crossref
    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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