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Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems
Authors:A. B. Borisov
Affiliation:(1) Institute for the Physics of Metals, Urals Branch, RAS, Ekaterinburg, Russia
Abstract: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. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 124, No. 2, pp. 279–291, August, 2000.
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