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Approximate symmetries and conservation laws with applications - MaRDI portal

Approximate symmetries and conservation laws with applications (Q1964578)

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scientific article; zbMATH DE number 1404206
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Approximate symmetries and conservation laws with applications
scientific article; zbMATH DE number 1404206

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    Approximate symmetries and conservation laws with applications (English)
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    20 February 2000
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    The authors deal with the theory of approximate symmetries associated with differential equations with a small parameter. They show that approximate conservation laws can be associated with approximate Lie-Bäcklund symmetries for systems which may not possess a Lagrangian. In addition, the authors prove that these conservation laws may be constructed algorithmically which allows them to apply the results to certain classes of linear and nonlinear wave equations.
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    symmetry
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    conservation laws
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    nonlinear wave equation
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