Geodesic
Nonautonomous Integrable Systems Associated with Hurwitz Spaces in Genuses Zero and One
Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 1, pp. 153-160

Voir la notice de l'article provenant de la source Math-Net.Ru

Briefly outlining our recent work, we construct a family of nonautonomous integrable systems (deformations of the principal chiral model) in connection with the Hurwitz spaces of meromorphic functions on the Riemann sphere, cylinder, and torus. We give differential equations describing the dependence of the critical points of the rational, elliptic, and trigonometric functions on the critical values. We outline a relation to the deformation framework of Burtzev–Mikhailov–Zakharov.
Keywords: Hurwitz spaces, deformations of integrable systems. 
@article{TMF_2003_137_1_a15,
     author = {A. Yu. Kokotov and D. A. Korotkin and V. Shramchenko},
     title = {Nonautonomous {Integrable} {Systems} {Associated} with {Hurwitz} {Spaces} in {Genuses} {Zero} and {One}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {153--160},
     publisher = {mathdoc},
     volume = {137},
     number = {1},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_137_1_a15/}
}
TY  - JOUR
AU  - A. Yu. Kokotov
AU  - D. A. Korotkin
AU  - V. Shramchenko
TI  - Nonautonomous Integrable Systems Associated with Hurwitz Spaces in Genuses Zero and One
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2003
SP  - 153
EP  - 160
VL  - 137
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2003_137_1_a15/
LA  - ru
ID  - TMF_2003_137_1_a15
ER  - 
%0 Journal Article
%A A. Yu. Kokotov
%A D. A. Korotkin
%A V. Shramchenko
%T Nonautonomous Integrable Systems Associated with Hurwitz Spaces in Genuses Zero and One
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2003
%P 153-160
%V 137
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2003_137_1_a15/
%G ru
%F TMF_2003_137_1_a15
A. Yu. Kokotov; D. A. Korotkin; V. Shramchenko. Nonautonomous Integrable Systems Associated with Hurwitz Spaces in Genuses Zero and One. Teoretičeskaâ i matematičeskaâ fizika, Tome 137 (2003) no. 1, pp. 153-160. http://geodesic.mathdoc.fr/item/TMF_2003_137_1_a15/