Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 12, Tome 209 (1994), pp. 150-167
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V. D. Lipovsky; A. V. Shirokov. Inverse scattering transform for Zakharov–Manakov's system. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 12, Tome 209 (1994), pp. 150-167. http://geodesic.mathdoc.fr/item/ZNSL_1994_209_a8/
@article{ZNSL_1994_209_a8,
author = {V. D. Lipovsky and A. V. Shirokov},
title = {Inverse scattering transform for {Zakharov{\textendash}Manakov's} system},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {150--167},
year = {1994},
volume = {209},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1994_209_a8/}
}
TY - JOUR
AU - V. D. Lipovsky
AU - A. V. Shirokov
TI - Inverse scattering transform for Zakharov–Manakov's system
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1994
SP - 150
EP - 167
VL - 209
UR - http://geodesic.mathdoc.fr/item/ZNSL_1994_209_a8/
LA - ru
ID - ZNSL_1994_209_a8
ER -
%0 Journal Article
%A V. D. Lipovsky
%A A. V. Shirokov
%T Inverse scattering transform for Zakharov–Manakov's system
%J Zapiski Nauchnykh Seminarov POMI
%D 1994
%P 150-167
%V 209
%U http://geodesic.mathdoc.fr/item/ZNSL_1994_209_a8/
%G ru
%F ZNSL_1994_209_a8
The inverse scattering transform method for dimensional reduced selfduail equations of Yang-Mills fields (Zakharov–Manakov's system) is studied. The resolvent approach for the auxiliary linear problem is developed. Reductions for the scattering data are obtained. Dispersion relations and trace identities are presented. Bibliography: 4 titles.
