Geodesic
Painlev\'e expansion and exact solution for nonlinear evolution equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 3, pp. 528-536

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

It is shown that the truncated Painlevé expansion provides a systematic procedure to obtain exact as well as special solutions for nonlinear evolution equations. Several examples of nonintegrable equations both infinite and finite dimensions are illustrated. 
@article{TMF_1994_99_3_a22,
     author = {R. Sahadevan},
     title = {Painlev\'e expansion and exact solution for nonlinear evolution equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {528--536},
     publisher = {mathdoc},
     volume = {99},
     number = {3},
     year = {1994},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a22/}
}
TY  - JOUR
AU  - R. Sahadevan
TI  - Painlev\'e expansion and exact solution for nonlinear evolution equations
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1994
SP  - 528
EP  - 536
VL  - 99
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a22/
LA  - ru
ID  - TMF_1994_99_3_a22
ER  - 
%0 Journal Article
%A R. Sahadevan
%T Painlev\'e expansion and exact solution for nonlinear evolution equations
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1994
%P 528-536
%V 99
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a22/
%G ru
%F TMF_1994_99_3_a22
R. Sahadevan. Painlev\'e expansion and exact solution for nonlinear evolution equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 99 (1994) no. 3, pp. 528-536. http://geodesic.mathdoc.fr/item/TMF_1994_99_3_a22/