This article is cited in 3 papers

Integrating the Korteweg-de Vries equation with a special free term in the class of periodic functions

A. B. Yakhshimuratov

Urgench State University, Urgench, Uzbekistan

Abstract: In the present paper we use the method of the inverse spectral problem to integrate the Korteweg-de Vries equation with a free term independent of the spatial variable in the class of periodic functions.

Keywords: Sturm–Liouville operator, inverse spectral problem, the Dubrovin–Trubowitz system of equations, the Korteweg-de Vries equation.

UDC: 517.946

Received: 10.05.2011

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