Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source (Q1586875)
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scientific article; zbMATH DE number 1533475
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source |
scientific article; zbMATH DE number 1533475 |
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Separation of variables and exact solutions to quasilinear diffusion equations with nonlinear source (English)
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6 March 2001
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This paper deals with the separation of variables and exact solutions for the quasilinear diffusion equation with a nonlinear source. The authors present a list of canonical forms for such equations which admit functionally separable solutions. A large number of exact solutions for these equations are obtained by the approach of separation of variables; the behaviour and blow-up properties of these solutions are described. Some comments are given in the end of the paper.
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list of canonical forms
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blow-up properties
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