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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf6535https://doi.org/10.4213/tmf6535 https://www.mathnet.ru/eng/tmf/v164/i2/p214
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Abstract page: | 585 | Full-text PDF : | 198 | References: | 77 | First page: | 12 |
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