Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 177-196
Citer cet article
S. P. Novikov. Algebro-topological approach to reality problems. Real action variables in the theory of finite-gap solutions of the Sine-Gordon equations. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VI, Tome 133 (1984), pp. 177-196. http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a12/
@article{ZNSL_1984_133_a12,
author = {S. P. Novikov},
title = {Algebro-topological approach to reality problems. {Real} action variables in the theory of finite-gap solutions of the {Sine-Gordon} equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {177--196},
year = {1984},
volume = {133},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a12/}
}
TY - JOUR
AU - S. P. Novikov
TI - Algebro-topological approach to reality problems. Real action variables in the theory of finite-gap solutions of the Sine-Gordon equations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 177
EP - 196
VL - 133
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a12/
LA - ru
ID - ZNSL_1984_133_a12
ER -
%0 Journal Article
%A S. P. Novikov
%T Algebro-topological approach to reality problems. Real action variables in the theory of finite-gap solutions of the Sine-Gordon equations
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 177-196
%V 133
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_133_a12/
%G ru
%F ZNSL_1984_133_a12
The paper developes an algebro-topological approach to the problem of effective selection of real finite gap solutions of the sine-Gordon equation, based on the so-called $\gamma$-representation associated with a Riemann surface where action variables can be written in a closed form. The approach is a general one and applies to many other systems for which the reality problem has not yet been solved.
