Geodesic
Integrating the loaded KdV equation with a~self-consistent source of integral type in the class of rapidly decreasing complex-valued functions
Matematičeskie trudy, Tome 24 (2021) no. 2, pp. 181-198

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In the article we apply the inverse scattering method to integrating the loaded Korteweg-de Vries equation with a self-consistent source of integral type in the class of rapidly decreasing complex-valued functions. 
@article{MT_2021_24_2_a10,
     author = {U. A. Hoitmetov},
     title = {Integrating the loaded {KdV} equation with a~self-consistent source of integral type in the class of rapidly decreasing complex-valued functions},
     journal = {Matemati\v{c}eskie trudy},
     pages = {181--198},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2021_24_2_a10/}
}
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U. A. Hoitmetov. Integrating the loaded KdV equation with a~self-consistent source of integral type in the class of rapidly decreasing complex-valued functions. Matematičeskie trudy, Tome 24 (2021) no. 2, pp. 181-198. http://geodesic.mathdoc.fr/item/MT_2021_24_2_a10/