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

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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.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Moscow, Russia

    A. V. Ovchinnikov

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  1. A. V. Ovchinnikov
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Correspondence to A. V. Ovchinnikov.

Additional information

Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 98, Geometry and Mechanics, 2015.

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Ovchinnikov, A.V. On the Asymptotic Expansion of Solutions to the Goursat Problem for the Sine-Gordon Equation. J Math Sci 221, 297–303 (2017). https://doi.org/10.1007/s10958-017-3241-7

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  • DOI: https://doi.org/10.1007/s10958-017-3241-7

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