A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation (Q1922772)
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scientific article; zbMATH DE number 929674
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation |
scientific article; zbMATH DE number 929674 |
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A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation (English)
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2 June 1997
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For the extended Fisher-Kolmogorov equation, the authors develop a topological shooting method and apply it to prove the existence of a countably infinite number of kinks or heteroclinic orbits connecting the stable states. The discussion is made according to a critical value of the positive (constant) coefficient of the fourth order term of the equation. (When this coefficient is zero, the equation reduces to the Fisher-Kolmogorov one).
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extension Fisher-Kolmogorov equation
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heteroclinic orbits
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