Geodesic
Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 2, pp. 279-291

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We solve the boundary value problems for the sine-Gordon equation and the elliptic Toda lattice in the framework of the inverse scattering method. This approach allows incorporating the singular soliton solutions of the spiral vortex form. 
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     author = {A. B. Borisov},
     title = {Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {279--291},
     publisher = {mathdoc},
     volume = {124},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a6/}
}
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A. B. Borisov. Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 2, pp. 279-291. http://geodesic.mathdoc.fr/item/TMF_2000_124_2_a6/