Slowly modulated two-pulse solutions in the Gray-Scott model. I: Asymptotic construction and stability (Q2727766)
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scientific article; zbMATH DE number 1628042
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Slowly modulated two-pulse solutions in the Gray-Scott model. I: Asymptotic construction and stability |
scientific article; zbMATH DE number 1628042 |
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31 July 2001
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modulated traveling waves
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self-replicating patterns
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critical maximum wave speeds
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Slowly modulated two-pulse solutions in the Gray-Scott model. I: Asymptotic construction and stability (English)
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This paper concerns the existence of solutions consisting of two symmetric pulses moving apart from each other with slowly varying velocities. Critical maximum wave speeds are identified and ordinary differential equations are derived for the wave speed and for the separation distance between the pulses.
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