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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 2, Pages 87–92 (Mi ivm9085)  
This article is cited in 15 scientific papers (total in 15 papers)

Integration of loaded Korteweg–de Vries equation in a class of periodic functions

A. B. Yakhshimuratov, M. M. Matyokubov

Chair of Applied Mathematics and Mathematical Physics, Urgench State University, 14 Khamid Alimdzhan str., Urgench, 220100 Republic of Uzbekistan
Full-text PDF (179 kB) Citations (15) English version article
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Abstract: In this paper we apply the inverse spectral problem to integrate the Korteweg–de Vries equation with a loaded term in a class of periodic functions.
Keywords: Korteweg–de Vries equation, Sturm–Liouville operator, inverse spectral problem, system of equations of Dubrovin, trace formulas.
Received: 08.07.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 2, Pages 72–76
DOI: https://doi.org/10.3103/S1066369X16020110
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. B. Yakhshimuratov, M. M. Matyokubov, “Integration of loaded Korteweg–de Vries equation in a class of periodic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 2, 87–92; Russian Math. (Iz. VUZ), 60:2 (2016), 72–76
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/ivm/y2016/i2/p87
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :104
    References:86
    First page:15
     
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