Explicit solutions of Fisher's equation with three zeros (Q923222)
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scientific article; zbMATH DE number 4169197
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit solutions of Fisher's equation with three zeros |
scientific article; zbMATH DE number 4169197 |
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Explicit solutions of Fisher's equation with three zeros (English)
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1990
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The author derives, by purely analytical considerations, explicit travelling wave solutions to Fisher's population equation with diffusion \[ u_ t=u_{xx}+u(1-u)(u-a)\text{ for } t>0,\quad x\in {\mathbb{R}}, \] where \(0<a<1\) is constant. It should be noted that these solutions have also been found by A. F. Huxley, cf. e.g. {\S} 5.4 in \textit{Dan Henry} [Lect. Notes Math. 840 (1981; Zbl 0456.35001)].
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travelling wave solutions
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Fisher's population equation
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