Interaction of solitons for sine-Gordon-type equations (Q355808)
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scientific article; zbMATH DE number 6191204
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interaction of solitons for sine-Gordon-type equations |
scientific article; zbMATH DE number 6191204 |
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Interaction of solitons for sine-Gordon-type equations (English)
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25 July 2013
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Summary: The subject of our consideration is a family of semilinear wave equations with a small parameter and nonlinearities which provide the existence of kink-type solutions (solitons). Using asymptotic analysis and numerical simulation, we demonstrate that solitons of the same type (kinks or antikinks) interact in the same manner as for the sine-Gordon equation. However, solitons of the different type preserve the shape after the interaction only in the case of two or three waves, and, moreover, under some additional conditions.
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