Functionally separable solutions to nonlinear wave equations by group foliation method (Q874944)
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scientific article; zbMATH DE number 5141583
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Functionally separable solutions to nonlinear wave equations by group foliation method |
scientific article; zbMATH DE number 5141583 |
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Functionally separable solutions to nonlinear wave equations by group foliation method (English)
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10 April 2007
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In this very technical article the authors discuss functionally separable solutions of nonlinear wave equations of the form \[ u_{tt}=(A(x)D(u)u_x)_x+B(x)Q(u). \] After a very brief introduction into the underlying computational technique, the main part of the article consists of the lengthy derivation of a classification (summarised in five tables) of all equations of the given type admitting functionally separable solutions.
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partial differential equation
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wave equation
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Lie symmetry
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group foliation
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functional separation
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0.9106019
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0.9038868
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0.89975417
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0.8969556
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