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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 2, Pages 214–221
DOI: https://doi.org/10.4213/tmf6535 (Mi tmf6535) 		 
This article is cited in 36 scientific papers (total in 36 papers)

The Korteweg–de Vries equation with a self-consistent source in the class of periodic functions

A. B. Khasanov, A. B. Yakhshimuratov

Urgench State University, Urgench, Uzbekistan
Full-text PDF (366 kB) Citations (36)
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DOI: https://doi.org/10.4213/tmf6535
Abstract: We use the inverse spectral problem method to integrate the Korteweg–de Vries equation with a self-consistent source in the class of periodic functions.
Keywords: Sturm–Liouville operator, spectral data, system of Dubrovin equations, Korteweg–de Vries equation with a self-consistent source.
Received: 13.02.2009
Revised: 06.01.2010
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 2, Pages 1008–1015
DOI: https://doi.org/10.1007/s11232-010-0081-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. B. Khasanov, A. B. Yakhshimuratov, “The Korteweg–de Vries equation with a self-consistent source in the class of periodic functions”, TMF, 164:2 (2010), 214–221; Theoret. and Math. Phys., 164:2 (2010), 1008–1015
Citation in format AMSBIB
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    • This publication is cited in the following 36 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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