Potential symmetry generators of some perturbed nonlinear evolution related equations (Q928594)
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scientific article; zbMATH DE number 5287437
| Language | Label | Description | Also known as |
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| English | Potential symmetry generators of some perturbed nonlinear evolution related equations |
scientific article; zbMATH DE number 5287437 |
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Potential symmetry generators of some perturbed nonlinear evolution related equations (English)
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11 June 2008
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Summary: Some recent results on approximate Lie group methods and previously developed concepts on potential symmetries are extended and applied to nonlinear systems perturbed to some order by a small parameter. The potential (or auxiliary) form of the perturbed system necessarily requires knowledge of an ``approximate'' conservation law of the system. We make an analysis on a perturbed Burgers equation and discuss other nonlinear equations where the results are applicable.
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approximate Lie group methods
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perturbed Burgers equation
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