Geodesic
Nonlinear two-dimensional field theory models and Painlev\'e equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 189-196

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

The connection is established between similar solutions of a nonlinear second-order partial differential equation associated with nonlinear field theory models and the solutions of the third and fifth Painlevé equations. Bäcklund transformations are given and special classes of solutions are constructed. 
@article{TMF_1983_55_2_a2,
     author = {V. I. Gromak and V. V. Tsegel'nik},
     title = {Nonlinear two-dimensional field theory models and {Painlev\'e} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {189--196},
     publisher = {mathdoc},
     volume = {55},
     number = {2},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a2/}
}
TY  - JOUR
AU  - V. I. Gromak
AU  - V. V. Tsegel'nik
TI  - Nonlinear two-dimensional field theory models and Painlev\'e equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 189
EP  - 196
VL  - 55
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a2/
LA  - ru
ID  - TMF_1983_55_2_a2
ER  - 
%0 Journal Article
%A V. I. Gromak
%A V. V. Tsegel'nik
%T Nonlinear two-dimensional field theory models and Painlev\'e equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 189-196
%V 55
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a2/
%G ru
%F TMF_1983_55_2_a2
V. I. Gromak; V. V. Tsegel'nik. Nonlinear two-dimensional field theory models and Painlev\'e equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 55 (1983) no. 2, pp. 189-196. http://geodesic.mathdoc.fr/item/TMF_1983_55_2_a2/