Geodesic
On the asymptotic expansion of solutions to the Goursat problem for the sine-Gordon equation
Contemporary Mathematics and Its Applications, Tome 98 (2015), pp. 143-148 
A. V. Ovchinnikov. On the asymptotic expansion of solutions to the Goursat problem for the sine-Gordon equation. Contemporary Mathematics and Its Applications, Tome 98 (2015), pp. 143-148. http://geodesic.mathdoc.fr/item/CMA_2015_98_a6/
@article{CMA_2015_98_a6,
     author = {A. V. Ovchinnikov},
     title = {On the asymptotic expansion of solutions to the {Goursat} problem for the {sine-Gordon} equation},
     journal = {Contemporary Mathematics and Its Applications},
     pages = {143--148},
     year = {2015},
     volume = {98},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMA_2015_98_a6/}
}
TY  - JOUR
AU  - A. V. Ovchinnikov
TI  - On the asymptotic expansion of solutions to the Goursat problem for the sine-Gordon equation
JO  - Contemporary Mathematics and Its Applications
PY  - 2015
SP  - 143
EP  - 148
VL  - 98
UR  - http://geodesic.mathdoc.fr/item/CMA_2015_98_a6/
LA  - ru
ID  - CMA_2015_98_a6
ER  - 
%0 Journal Article
%A A. V. Ovchinnikov
%T On the asymptotic expansion of solutions to the Goursat problem for the sine-Gordon equation
%J Contemporary Mathematics and Its Applications
%D 2015
%P 143-148
%V 98
%U http://geodesic.mathdoc.fr/item/CMA_2015_98_a6/
%G ru
%F CMA_2015_98_a6

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

We construct an expansion of a solution to the Goursat problem for the sine-Gordon equation with respect to a small parameter that is involved in the data on characteristics. We prove that the expansion obtained is an asymptotic series.