Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 3, pp. 326-334
Citer cet article
A. B. Borisov. Differential-geometrical method and new class of exact solutions of $\vec n$-field equations. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 3, pp. 326-334. http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a4/
@article{JMAG_2003_10_3_a4,
author = {A. B. Borisov},
title = {Differential-geometrical method and new class of exact solutions of $\vec n$-field equations},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {326--334},
year = {2003},
volume = {10},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a4/}
}
TY - JOUR
AU - A. B. Borisov
TI - Differential-geometrical method and new class of exact solutions of $\vec n$-field equations
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2003
SP - 326
EP - 334
VL - 10
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a4/
LA - ru
ID - JMAG_2003_10_3_a4
ER -
%0 Journal Article
%A A. B. Borisov
%T Differential-geometrical method and new class of exact solutions of $\vec n$-field equations
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2003
%P 326-334
%V 10
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_2003_10_3_a4/
%G ru
%F JMAG_2003_10_3_a4
The concepts of classical differential geometry have been used to develop a new method for producing a broad class of solutions for equations of $\vec n$ -field theory. The method is based on hodograph trasformation and subsequent treating the desired equation as a differential connection for a curvilinear coordinate system in a Enclidean space. The solutions produced this way depend on three arbitrary functions.
