A. B. Khasanov, M. M. Matjakubov, “Integration of the nonlinear Korteweg–de Vries equation with an additional term”, TMF, 2020, Volume 203, Number 2,Pages <nobr>192

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Integration of the nonlinear Korteweg–de Vries equation with an additional term

A. B. Khasanov, M. M. Matjakubov

Urgench State University named after Al-Khorezmi, Urgench, Uzbekistan

Abstract: We use the method of the inverse spectral problem to integrate the nonlinear Korteweg–de Vries equation with an additional term in the class of periodic functions.

Keywords: Korteweg–de Vries equation with an additional term, Lax pair, trace formula, inverse spectral problem, Sturm–Liouville operator, Dubrovin system of equations.

Received: 07.01.2019
Revised: 01.06.2019

DOI: 10.4213/tmf9693