Polynomial conservation laws and exact solutions associated with isometric and homothetic symmetries in the nonlinear sigma model
Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 144-152
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In the nonlinear $\sigma$ model, conserved tensor currents associated with the presence of
isometric, homothetic, and affine motions in the space of values of the chiral field $V^N$
are constructed. New classes of exact solutions in the $SO(3)$- and $SO(5)$-invariant $\sigma$
models are obtained using the connection between the groups of isometric and
homothetic motions of space-time and the isometric motions in $V^N$. Some methods
for obtaining exact solutions in the four-dimensional $\sigma$ model with nontrivial
topological charge are considered.
@article{TMF_1985_62_1_a11,
author = {G. G. Ivanov},
title = {Polynomial conservation laws and exact solutions associated with isometric and homothetic symmetries in the nonlinear sigma model},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {144--152},
publisher = {mathdoc},
volume = {62},
number = {1},
year = {1985},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a11/}
}
TY - JOUR AU - G. G. Ivanov TI - Polynomial conservation laws and exact solutions associated with isometric and homothetic symmetries in the nonlinear sigma model JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1985 SP - 144 EP - 152 VL - 62 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a11/ LA - ru ID - TMF_1985_62_1_a11 ER -
%0 Journal Article %A G. G. Ivanov %T Polynomial conservation laws and exact solutions associated with isometric and homothetic symmetries in the nonlinear sigma model %J Teoretičeskaâ i matematičeskaâ fizika %D 1985 %P 144-152 %V 62 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a11/ %G ru %F TMF_1985_62_1_a11
G. G. Ivanov. Polynomial conservation laws and exact solutions associated with isometric and homothetic symmetries in the nonlinear sigma model. Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 144-152. http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a11/