An equation admitting infinite true contact transformations (Q1399864)
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scientific article; zbMATH DE number 1957241
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An equation admitting infinite true contact transformations |
scientific article; zbMATH DE number 1957241 |
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An equation admitting infinite true contact transformations (English)
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30 July 2003
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The writer shows that the linear wave equation \(u_{tt}-u_{xx}=0\) admits infinite contact transformations. The linear wave equation is shown to possess the property that if \(\omega_n\) is a true contact transformation admitted by the wave equation, i.e., \(\omega_n\) is not linear in the first derivatives of the dependent variable, then so is \(\sum_n\omega_n\).
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linear wave equation
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