Conditional invariance and exact solutions of the nonlinear heat equation (Q807848)
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scientific article; zbMATH DE number 4208657
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conditional invariance and exact solutions of the nonlinear heat equation |
scientific article; zbMATH DE number 4208657 |
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Conditional invariance and exact solutions of the nonlinear heat equation (English)
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1990
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Q-conditional invariance of the two-dimensional nonlinear heat equation \((1)\quad u_ x+u_{yy}=F(u)\) is studied. Then, the invariance operator is used to construct solutions of the equation (1).[For the notion of conditional invariance see: \textit{V. I. Fushchich}, \textit{V. M. Shtelen} and the author, Symmetry analysis and exact solutions of nonlinear equations of mathematical physics. Kiev, Naukova Dumka (1989; Zbl 0727.58002) (in Russian)].
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nonlinear heat equation
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invariance operator
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