Email this article On the Asymptotic Expansion of Solutions to the Goursat Problem for the Sine-Gordon Equation
- Authors: Ovchinnikov A.V.1
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Affiliations:
- M. V. Lomonosov Moscow State University
- Issue: Vol 221, No 2 (2017)
- Pages: 297-303
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239021
- DOI: https://doi.org/10.1007/s10958-017-3241-7
- ID: 239021
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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.
About the authors
A. V. Ovchinnikov
M. V. Lomonosov Moscow State University
Author for correspondence.
Email: al.v.ovchinnikov@mail.ru
Russian Federation, Moscow
