Integration of the negative order Korteweg-de Vries equation with self-consistent source

Authors

Michal Fečkan, Comenius University in Bratislava, Bratislava, SlovakiaFollow
Gayrat Urazboev, Urgench State University, Khorezm, Uzbekistan; V.I.Romanovsky Institute of Mathematics of the Academy of Sciences of Uzbekistan, Khorezm branch, Khorezm, UzbekistanFollow
Iroda Baltaeva, Urgench State University, Khorezm, UzbekistanFollow
Oxunjon Ismoilov, V.I.Romanovsky Institute of Mathematics of the Academy of Sciences of Uzbekistan, Khorezm branch, Khorezm, Uzbekistan; Urgench State University, Khorezm, UzbekistanFollow

Abstract

In this paper, we show that the negative-order Korteweg-de Vries equation with a self-consistent source can be solved by the inverse scattering method. The evolution of the spectral data of the Sturm-Liouville operator with the potential associated with the solution of the negative order Korteweg-de Vries equation with a self-consistent source is determined. The results obtained make it possible to apply the method of the inverse scattering problem to solve the problem under consideration.

First Page

50

Last Page

59

References

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Recommended Citation

Fečkan, Michal; Urazboev, Gayrat; Baltaeva, Iroda; and Ismoilov, Oxunjon (2023) "Integration of the negative order Korteweg-de Vries equation with self-consistent source," Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 6: Iss. 1, Article 5.
DOI: https://doi.org/10.56017/2181-1318.1240