A. B. Khasanov, A. B. Yakhshimuratov, “The Korteweg–de Vries equation with a self-consistent source in the class of periodic functions”, TMF, 2010, Volume 164, Number 2,Pages <nobr>214

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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

DOI: 10.4213/tmf6535