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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 203, Number 2, Pages 192–204
DOI: https://doi.org/10.4213/tmf9693 (Mi tmf9693) 		 
This article is cited in 27 scientific papers (total in 27 papers)

Integration of the nonlinear Korteweg–de Vries equation with an additional term

A. B. Khasanov, M. M. Matjakubov

Urgench State University named after Al-Khorezmi, Urgench, Uzbekistan
Full-text PDF (451 kB) Citations (27)
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DOI: https://doi.org/10.4213/tmf9693
Abstract: We use the method of the inverse spectral problem to integrate the nonlinear Korteweg–de Vries equation with an additional term in the class of periodic functions.
Keywords: Korteweg–de Vries equation with an additional term, Lax pair, trace formula, inverse spectral problem, Sturm–Liouville operator, Dubrovin system of equations.
Received: 07.01.2019
Revised: 01.06.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 203, Issue 2, Pages 596–607
DOI: https://doi.org/10.1134/S0040577920050037
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. B. Khasanov, M. M. Matjakubov, “Integration of the nonlinear Korteweg–de Vries equation with an additional term”, TMF, 203:2 (2020), 192–204; Theoret. and Math. Phys., 203:2 (2020), 596–607
Citation in format AMSBIB
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    • This publication is cited in the following 27 articles:
    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:47
    First page:25
     
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