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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1982 Volume 120, Pages 136–141 (Mi znsl4013)

The solution scattering in the Darboux transformation formalism

V. B. Matveev, M. A. Sall'


Abstract: Formulas describing the soliton scattering in Kadomtsev–Petviashvily equation, KdV, nonlocal KdV, two dimensionalized Toda lattice and it's periodical reductions (in particular in the sine-Gordon equation) are received by the Darboux transformation technique.

UDC: 517.93



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