Geodesic
Integration of the Harry Dym equation with an integral type source
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 31 (2021) no. 2, pp. 285-295

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In the work, we deduce the evolution of scattering data for a spectral problem associated with the nonlinear evolutionary equation of Harry Dym with a self-consistent source of integral type. The obtained equalities completely determine the scattering data for any $t$, which makes it possible to apply the method of the inverse scattering problem to solve the Cauchy problem for the Harry Dym equation with an integral type source.
Keywords: nonlinear evolution equation, Harry Dym equation, integral source, inverse scattering method
Mots-clés : Gelfand–Levitan–Marchenko equation. 
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     title = {Integration of the {Harry} {Dym} equation with an integral type source},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
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G. U. Urazboev; A. K. Babadjanova; D. R. Saparbaeva. Integration of the Harry Dym equation with an integral type source. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, Tome 31 (2021) no. 2, pp. 285-295. http://geodesic.mathdoc.fr/item/VUU_2021_31_2_a8/