Geodesic
Integration of the sine-Gordon equation with a~self-consistent source of the integral type in the case of multiple eigenvalues
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2009), pp. 55-66

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The paper is dedicated to the evolution of the scattering data for a Dirac-type nonself-adjoint operator with multiple eigenvalues whose potential is a solution of the sine-Gordon equation with a self-consistent source of the integral type.
Mots-clés : sine-Gordon equation
Keywords: self-consistent source, Dirac-type operator, multiple eigenvalues, scattering data, inverse scattering method. 
@article{IVM_2009_3_a2,
     author = {A. B. Khasanov and G. U. Urazboev},
     title = {Integration of the {sine-Gordon} equation with a~self-consistent source of the integral type in the case of multiple eigenvalues},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {55--66},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_3_a2/}
}
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A. B. Khasanov; G. U. Urazboev. Integration of the sine-Gordon equation with a~self-consistent source of the integral type in the case of multiple eigenvalues. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2009), pp. 55-66. http://geodesic.mathdoc.fr/item/IVM_2009_3_a2/