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

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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… Click to show full 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.

Keywords: sine gordon; expansion; problem sine; gordon equation; goursat problem

Journal Title: Journal of Mathematical Sciences
Year Published: 2017

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