Poisson groups and Dressing transformations
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 6, Tome 150 (1986), pp. 119-142
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The non-conventional properties of Poisson brackets under the dressing transformations of Zakharov–Shabat are studied using the geometry of Poisson Lie groups originally developed by V. Drinfel'd.
@article{ZNSL_1986_150_a11,
author = {M. A. Semenov-Tian-Shansky},
title = {Poisson groups and {Dressing} transformations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {119--142},
year = {1986},
volume = {150},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_150_a11/}
}
M. A. Semenov-Tian-Shansky. Poisson groups and Dressing transformations. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 6, Tome 150 (1986), pp. 119-142. http://geodesic.mathdoc.fr/item/ZNSL_1986_150_a11/