Geodesic
Integration of the~matrix modified Korteweg--de~Vries equation with an integral-type source
Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 3, pp. 351-364

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We derive time evolution equations for the scattering data for the matrix Zakharov–Shabat system with a potential that is the solution of the matrix modified Korteweg–de Vries equation with an integral-type source.
Keywords: inverse scattering method, eigenvalue, matrix modified Korteweg–de Vries equation, self-consistent source.
Mots-clés : matrix Zakharov–Shabat system 
@article{TMF_2020_203_3_a2,
     author = {G. U. Urazboev and U. A. Xoitmetov and A. K. Babadjanova},
     title = {Integration of the~matrix modified {Korteweg--de~Vries} equation with an integral-type source},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {351--364},
     publisher = {mathdoc},
     volume = {203},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2020_203_3_a2/}
}
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G. U. Urazboev; U. A. Xoitmetov; A. K. Babadjanova. Integration of the~matrix modified Korteweg--de~Vries equation with an integral-type source. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 3, pp. 351-364. http://geodesic.mathdoc.fr/item/TMF_2020_203_3_a2/