A numerical simulation and explicit solutions of the generalized Burgers--Fisher equation (Q1826790)
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scientific article; zbMATH DE number 2081880
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A numerical simulation and explicit solutions of the generalized Burgers--Fisher equation |
scientific article; zbMATH DE number 2081880 |
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A numerical simulation and explicit solutions of the generalized Burgers--Fisher equation (English)
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6 August 2004
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The authors present a method for the solution of a Burgers equation with a Fisher source term by computing terms of a series. The method requires that the solution possess a very high degree of regularity, namely, the condition that \(\| \partial_x^2 u \| \leq M \| u \| \). The method is very effective in special cases, such as that presented here.
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Burgers-Fisher equation
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series solution
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decomposition method
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solitary-wave solution
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numerical results
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