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 Zap. Nauchn. Sem. LOMI, 1988, Volume 169, Pages 60–67 (Mi znsl5597)

Formulation of the scattering theory for the NLS equation with boundary conditions of the type of finite density in the soliton-free sector

A. R. Its, A. F. Ustinov

Abstract: In terms of the spectral data for the auxiliary linear operator, under the assumption that there is no discrete spectrum, an asymptotic canonical variables and classical $S$-matrix for the ELS model with non-zero boundary conditions are calculatid.

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Bibliographic databases:
UDC: 536.7

Citation: A. R. Its, A. F. Ustinov, “Formulation of the scattering theory for the NLS equation with boundary conditions of the type of finite density in the soliton-free sector”, Questions of quantum field theory and statistical physics. Part 8, Zap. Nauchn. Sem. LOMI, 169, "Nauka", Leningrad. Otdel., Leningrad, 1988, 60–67

Citation in format AMSBIB
\Bibitem{ItsUst88} \by A.~R.~Its, A.~F.~Ustinov \paper Formulation of the scattering theory for the NLS equation with boundary conditions of the type of finite density in the soliton-free sector \inbook Questions of quantum field theory and statistical physics. Part~8 \serial Zap. Nauchn. Sem. LOMI \yr 1988 \vol 169 \pages 60--67 \publ "Nauka", Leningrad. Otdel. \publaddr Leningrad \mathnet{http://mi.mathnet.ru/znsl5597} \zmath{https://zbmath.org/?q=an:0695.35145}