U. A. Hoitmetov, “Integrating the loaded KdV equation with a self-consistent source of integral type in the class of rapidly decreasing complex-valued functions”, Mat. Tr., 2021, Volume 24, Number 2,Pages <nobr>181

This article is cited in 2 papers

Integrating the loaded KdV equation with a self-consistent source of integral type in the class of rapidly decreasing complex-valued functions

U. A. Hoitmetov^ab

^a Khorezm Regional Branch of the V.I. Romanovsky Institute of Mathematics, Uzbekistan Academy of Sciences
^b Urgench State University named after Al-Khorezmi

Abstract: In the article we apply the inverse scattering method to integrating the loaded Korteweg-de Vries equation with a self-consistent source of integral type in the class of rapidly decreasing complex-valued functions.

Key words: loaded Korteweg-de Vries equation, Sturm–Liouville operator, Jost solutions, scattering data, inverse problem of scattering theory, Gelfand–Levitan–Marchenko integral equation.

UDC: 517.957

Received: 03.08.2020
Revised: 15.04.2021
Accepted: 30.08.2021

DOI: 10.33048/mattrudy.2021.24.211