Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 14, Tome 245 (1997), pp. 149-165
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E. Sh. Gutshabash. The transformation of Pohlmeyer and $(2+0)$ integrable equations of statistical physics. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 14, Tome 245 (1997), pp. 149-165. http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a7/
@article{ZNSL_1997_245_a7,
author = {E. Sh. Gutshabash},
title = {The transformation of {Pohlmeyer} and $(2+0)$ integrable equations of statistical physics},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {149--165},
year = {1997},
volume = {245},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a7/}
}
TY - JOUR
AU - E. Sh. Gutshabash
TI - The transformation of Pohlmeyer and $(2+0)$ integrable equations of statistical physics
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1997
SP - 149
EP - 165
VL - 245
UR - http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a7/
LA - ru
ID - ZNSL_1997_245_a7
ER -
%0 Journal Article
%A E. Sh. Gutshabash
%T The transformation of Pohlmeyer and $(2+0)$ integrable equations of statistical physics
%J Zapiski Nauchnykh Seminarov POMI
%D 1997
%P 149-165
%V 245
%U http://geodesic.mathdoc.fr/item/ZNSL_1997_245_a7/
%G ru
%F ZNSL_1997_245_a7
Using the transformation of Pohlmeyer in euclidean space it obtained the equation, which provide the possibility to construct the wide class of two-dimensional elliptical integrable systems. The question on a gauge equivalence of this systems with nonlinear sigma-model and Getmanov and Bitzadze models is investigated. The exact solution of some equations are constructed.
