On differential equations characterized by their Lie point symmetries (Q884328)
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scientific article; zbMATH DE number 5161737
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On differential equations characterized by their Lie point symmetries |
scientific article; zbMATH DE number 5161737 |
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On differential equations characterized by their Lie point symmetries (English)
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6 June 2007
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The authors study differential equations which are uniquely determined by their Lie point symmetries; they call such equations Lie remarkable. Using the jet bundle formalism a geometric characterisation of these equations is given. As two larger examples, minimal submanifold equations and Monge-Ampère equations are considered in some detail.
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Lie point symmetry
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invariant solution
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Lie remarkable equation
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minimal submanifold
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Monge-Ampère equation
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