This article is cited 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

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.

UDC: 517.956

Received: 08.07.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:2, 72–76

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