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Circular and transverse wave solutions of non-linear hyperbolic systems of equations

Published online by Cambridge University Press:  20 January 2009

Robin J. Waterston
Robin J. Waterston
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow C.I..
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Circularly and transversely polarised (henceforth called circular and transverse) waves have been shown to occur as solutions of non-linear equations governing a wide range of physical phenomena, including finite elasticity (1), magnetohydrodynamics (2), and gyromagnetism (3), but only when the material properties of the medium are isotropic with respect to the direction of wave propagation. This paper is an attempt to unify and generalise these results.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 16 , Issue 2 , December 1968 , pp. 117 - 126
Copyright
Copyright © Edinburgh Mathematical Society 1968

References

REFERENCES

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