An equation admitting infinite true contact transformations |
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Authors: | E Momoniat |
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Institution: | Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits 2050, Johannesburg, South Africa |
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Abstract: | The linear wave equation is shown to possess the unique property that if wn is a true contact transformation admitted by the wave equation, i.e., wn is not linear in the first derivatives of the dependent variable, then so is ∑nwn. We comment of the physical implications. |
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Keywords: | True contact transformation Linear wave equation |
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