Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 17, Tome 291 (2002), pp. 185-205
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P. P. Kulish; A. M. Zeitlin. Group-theoretical structure and inverse scattering method for super-KdV equation. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 17, Tome 291 (2002), pp. 185-205. http://geodesic.mathdoc.fr/item/ZNSL_2002_291_a10/
@article{ZNSL_2002_291_a10,
author = {P. P. Kulish and A. M. Zeitlin},
title = {Group-theoretical structure and inverse scattering method for {super-KdV} equation},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {185--205},
year = {2002},
volume = {291},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_291_a10/}
}
TY - JOUR
AU - P. P. Kulish
AU - A. M. Zeitlin
TI - Group-theoretical structure and inverse scattering method for super-KdV equation
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2002
SP - 185
EP - 205
VL - 291
UR - http://geodesic.mathdoc.fr/item/ZNSL_2002_291_a10/
LA - ru
ID - ZNSL_2002_291_a10
ER -
%0 Journal Article
%A P. P. Kulish
%A A. M. Zeitlin
%T Group-theoretical structure and inverse scattering method for super-KdV equation
%J Zapiski Nauchnykh Seminarov POMI
%D 2002
%P 185-205
%V 291
%U http://geodesic.mathdoc.fr/item/ZNSL_2002_291_a10/
%G ru
%F ZNSL_2002_291_a10
Using group-theoretical approach to the inverse scattering method the super-Korteveg-de Vries equation is obtained by application of the Drinfeld–Sokolov reduction to $osp(1|2)$ loop super-algebra. The direct and inverse scattering problems are discussed for the corresponding Lax pair.
