On conservation laws and boundary conditions for ``short waves'' equation (Q1424097)
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scientific article; zbMATH DE number 2053307
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On conservation laws and boundary conditions for ``short waves'' equation |
scientific article; zbMATH DE number 2053307 |
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On conservation laws and boundary conditions for ``short waves'' equation (English)
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8 March 2004
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The author studies local conservation laws for the equation of short waves \(2w_{xt}-2(x+w_x)w_{xx}+w_{yy}+2kw_x=0\), which can be written in the form of a variational problem. The author investigates an infinite symmetry group of the equation and generates a finite number of corresponding conservation laws together with appropriate boundary conditions at infinity.
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local conservation laws
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infinite symmetries
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