A class of PDEs with nonlinear superposition principles (Q442884)
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scientific article; zbMATH DE number 6063367
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of PDEs with nonlinear superposition principles |
scientific article; zbMATH DE number 6063367 |
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A class of PDEs with nonlinear superposition principles (English)
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6 August 2012
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Summary: Through assuming that nonlinear superposition principles (NLSPs) are embedded in a Lie group, a class of 3rd-order PDEs is derived from a general determining equation that determines the invariant group. The corresponding NLSPs and transformation to linearize the nonlinear PDE are found, hence the governing PDE is proved to be \(C\)-integrable. In the end, some applications of the PDEs are explained, which shows that the result has very subtle relations to linearization of partial differential equations.
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3rd-order PDE
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0.91628134
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0.9146005
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0.9133032
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0.90891224
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0.9089117
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0.90681237
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0.9022532
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0.9017986
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