Geodesic
Integration of mKdV equation with a self-consistent source in the class of finite density functions in the case of moving eigenvalues
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2020), pp. 73-85

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In this paper, the possibility of using the inverse scattering problem method to integrate the mKdV equation with a self-consistent source in the class of finite density functions in the case of moving simple eigenvalues of the corresponding spectral problem is shown.
Keywords: inverse scattering problem method, modified Korteweg-de Vries equation (mKdV), Dirac operator, eigenvalue, eigenfunction, scattering data, class of functions having finite density.
Mots-clés : Jost solution 
@article{IVM_2020_10_a6,
     author = {K. A. Mamedov},
     title = {Integration of {mKdV} equation with a self-consistent source in the class of finite density functions in the case of moving eigenvalues},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {73--85},
     publisher = {mathdoc},
     number = {10},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_10_a6/}
}
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K. A. Mamedov. Integration of mKdV equation with a self-consistent source in the class of finite density functions in the case of moving eigenvalues. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2020), pp. 73-85. http://geodesic.mathdoc.fr/item/IVM_2020_10_a6/