On the Asymptotic Expansion of Solutions to the Goursat Problem for the Sine-Gordon Equation

On the Asymptotic Expansion of Solutions to the Goursat Problem for the Sine-Gordon Equation

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.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2017-02, Vol.221 (2), p.297-303
1. Verfasser: Ovchinnikov, A. V.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic series
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-017-3241-7