Geodesic
On integration of Korteweg--de Vries equation in a class of rapidly decreasing complex-valued functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2018), pp. 79-90

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We apply the inverse scattering method to the integration of the Korteweg-de Vries equation with self-consistent source in the class of complex-valued rapidly decreasing functions.
Keywords: Korteweg-de Vries equation, Sturm–Liouville operator, inverse scattering problem, Gelfand–Levitan–Marchenko integral equation.
Mots-clés : Jost solutions 
@article{IVM_2018_3_a8,
     author = {A. B. Khasanov and U. A. Khoitmetov},
     title = {On integration of {Korteweg--de} {Vries} equation in a class of rapidly decreasing complex-valued functions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {79--90},
     publisher = {mathdoc},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_3_a8/}
}
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A. B. Khasanov; U. A. Khoitmetov. On integration of Korteweg--de Vries equation in a class of rapidly decreasing complex-valued functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2018), pp. 79-90. http://geodesic.mathdoc.fr/item/IVM_2018_3_a8/