Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VII, Tome 146 (1985), pp. 137-146
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I. T. Habibullin. Discrete Zakharov–Shabat systems and integrable equations. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VII, Tome 146 (1985), pp. 137-146. http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a8/
@article{ZNSL_1985_146_a8,
author = {I. T. Habibullin},
title = {Discrete {Zakharov{\textendash}Shabat} systems and integrable equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {137--146},
year = {1985},
volume = {146},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a8/}
}
TY - JOUR
AU - I. T. Habibullin
TI - Discrete Zakharov–Shabat systems and integrable equations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1985
SP - 137
EP - 146
VL - 146
UR - http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a8/
LA - ru
ID - ZNSL_1985_146_a8
ER -
%0 Journal Article
%A I. T. Habibullin
%T Discrete Zakharov–Shabat systems and integrable equations
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 137-146
%V 146
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_146_a8/
%G ru
%F ZNSL_1985_146_a8
The method of dressing transformations is generalized to the case of discrete spectral problems. As a result, new differentialdifference analogs of the nonlinear integrable equations (e.g. the sine-Gordon equation, the vector nonlinear Schroedinger equation and the $N$-wave system) are obtained. Bibl. – 11.
