A. V. Ovchinnikov, “On the asymptotic expansion of solutions to the Goursat problem for the sine-Gordon equation”, Contemporary Mathematics and Its Applications, 2015, Volume 98,Pages <nobr>143

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On the asymptotic expansion of solutions to the Goursat problem for the sine-Gordon equation

A. V. Ovchinnikov

Lomonosov Moscow State University

Abstract: 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.