Relationship between symmetries and conservation laws (Q1585848)
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scientific article; zbMATH DE number 1529843
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relationship between symmetries and conservation laws |
scientific article; zbMATH DE number 1529843 |
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Relationship between symmetries and conservation laws (English)
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5 June 2001
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The article discusses the relation between Lie-Bäcklund symmetries and conservation laws for arbitrary differential equations, i.e. it is not assumed that the equation comes from a variational principle as in the classical Noether theorem. An equation relating the symmetry generator and the components of a conservation law invariant under it is derived. This equation is applied to derive conservation laws for several classical equations in mathematical physics.
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Lie-Bäcklund symmetry
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Noether theorem
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differential equation
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