Geodesic
Integration of the loaded MKDV equation with a source in the class of rapidly decreasing functions
Matematičeskie zametki SVFU, Tome 30 (2023) no. 2, pp. 75-91 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the Cauchy problem for a loaded modi ed Korteweg-de Vries equation with a self-consistent source. The evolution of the scattering data of the Dirac operator, whose potential is a solution of the loaded modi ed Korteweg-de Vries equation with a self-consistent source in the class of rapidly decreasing functions, is derived. A specific example is given to illustrate the application of the obtained results.
Keywords: loaded modified Korteweg–de Vries equation, self-consistent source, scattering data.
Mots-clés : Jost solutions 
@article{SVFU_2023_30_2_a5,
     author = {U.A. Hoitmetov and Sh. K. Sobirov},
     title = {Integration of the loaded {MKDV} equation with a source in the class of rapidly decreasing functions},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {75--91},
     year = {2023},
     volume = {30},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2023_30_2_a5/}
}
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U.A. Hoitmetov; Sh. K. Sobirov. Integration of the loaded MKDV equation with a source in the class of rapidly decreasing functions. Matematičeskie zametki SVFU, Tome 30 (2023) no. 2, pp. 75-91. http://geodesic.mathdoc.fr/item/SVFU_2023_30_2_a5/