On the~sine-Gordon equation with a~self-consistent source
Matematičeskie trudy, Tome 11 (2008) no. 1, pp. 153-166

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We use the method of the inverse scattering problem to solve the sine-Gordon equation with a self-consistent source which corresponds to moving eigenvalues of the corresponding spectral problem.
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A. B. Khasanov; G. U. Urazboev. On the~sine-Gordon equation with a~self-consistent source. Matematičeskie trudy, Tome 11 (2008) no. 1, pp. 153-166. http://geodesic.mathdoc.fr/item/MT_2008_11_1_a7/