Geodesic
Integration of the negative order Korteweg--de~Vries equation by the inverse scattering method
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 33 (2023) no. 3, pp. 523-533

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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.
Keywords: Sturm-Liouville operator, negative order Korteweg-de Vries equation, scattering data, inverse scattering problem. 
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     author = {G. U. Urazboev and I. I. Baltaeva and O. B. Ismoilov},
     title = {Integration of the negative order {Korteweg--de~Vries} equation by the inverse scattering method},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
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     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2023_33_3_a8/}
}
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G. U. Urazboev; I. I. Baltaeva; O. B. Ismoilov. Integration of the negative order Korteweg--de~Vries equation by the inverse scattering method. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 33 (2023) no. 3, pp. 523-533. http://geodesic.mathdoc.fr/item/VUU_2023_33_3_a8/