Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 8, Tome 169 (1988), pp. 60-67
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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. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 8, Tome 169 (1988), pp. 60-67. http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a6/
@article{ZNSL_1988_169_a6,
author = {A. R. Its and A. F. Ustinov},
title = {Formulation of the scattering theory for the {NLS} equation with boundary conditions of the type of finite density in the soliton-free sector},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {60--67},
year = {1988},
volume = {169},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a6/}
}
TY - JOUR
AU - A. R. Its
AU - A. F. Ustinov
TI - Formulation of the scattering theory for the NLS equation with boundary conditions of the type of finite density in the soliton-free sector
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1988
SP - 60
EP - 67
VL - 169
UR - http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a6/
LA - ru
ID - ZNSL_1988_169_a6
ER -
%0 Journal Article
%A A. R. Its
%A A. F. Ustinov
%T Formulation of the scattering theory for the NLS equation with boundary conditions of the type of finite density in the soliton-free sector
%J Zapiski Nauchnykh Seminarov POMI
%D 1988
%P 60-67
%V 169
%U http://geodesic.mathdoc.fr/item/ZNSL_1988_169_a6/
%G ru
%F ZNSL_1988_169_a6
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.
