Symmetry analysis and solutions for a family of Cahn-Hilliard equations (Q5942372)
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scientific article; zbMATH DE number 1638459
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symmetry analysis and solutions for a family of Cahn-Hilliard equations |
scientific article; zbMATH DE number 1638459 |
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Symmetry analysis and solutions for a family of Cahn-Hilliard equations (English)
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29 August 2001
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The authors find some new classes of solutions for the equation \(u_t + ku_{xxxx} - (f(u)u_x)_x = 0\). These solutions are unobtainable by usig the classical Lie method, direct method, or singular manifold method. The history of the problem is presented excellently.
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nonclassical symmetries
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nonclassical potential symmetries
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Painlevé condition
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singular manifold method
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