Article

Integration of the negative order Korteweg-de Vries equation by the inverse scattering method

G. U. UrazboevUrgench State UniversityIroda Ismailovna BaltaevaUrgench State UniversityO. B. Ismoilov

Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Naukijournal2023en

ABI

Abstract

In this paper, we consider the integration of the negative order Korteweg-de Vries equation by the inverse scattering method. The evolution of the spectral data of the Sturm-Liouville operator with a potential associated with the solution of the negative order Korteweg-de Vries equation is determined. The obtained results make it possible to apply the method of inverse scattering problem to solve the negative order Korteweg-de Vries equation in the class of rapidly decreasing functions.

Topics

Nonlinear Waves and Solitons Advanced Mathematical Physics Problems Optical properties and cooling technologies in crystalline materials

Identifiers

DOI: 10.35634/vm230309

Citations and references

Cited by 7 25 references

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