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.

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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. 
@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},
     publisher = {mathdoc},
     volume = {98},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMA_2015_98_a6/}
}
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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/