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

A. B. Yakhshimuratov ; M. M. Matyokubov

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2016), pp. 87-92.

Résumé

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.

Détail

Keywords: Korteweg–de Vries equation, Sturm–Liouville operator, inverse spectral problem, system of equations of Dubrovin, trace formulas.

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