Summary
In order to elucidate some points in the linearised theory of waves on a string the exact equations for flexible strings have been investigated, both for inextensible and elastic strings. In the latter case the equations turn out to be hyperbolic and quasi-linear. It is shown that the characteristics connected with transverse waves are exceptional.
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References
L. J. F. Broer,J. Eng. Math., 4 (1970) 1–8.
A. Jeffrey and T. Taniuti,Non-linear wave propagation, Academic Press, New York and London, 1964.
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Broer, L.J.F. On the dynamics of strings. J Eng Math 4, 195–202 (1970). https://doi.org/10.1007/BF01534879
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DOI: https://doi.org/10.1007/BF01534879