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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
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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
(1) Bland, D. R., Plane isentropic large displacement simple waves in a compressible elastic solid, Z. Angew. Math.Phys. 16 (1965), 752–769.CrossRefGoogle Scholar
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(3) Hatfield, W. B. and Auld, B. A., Method of characteristics solution for electromagnetic wave propagation in a gyromagnetic medium, J. Math. Phys. 43 (1964) 34–37.Google Scholar
(4) Lax, P. D., Hyperbolic systems of conservation laws, II Comm. Pure. Appl. Math. 10 (1957) 537–566.CrossRefGoogle Scholar
(5) Courant, R. and Hilbert, D., Methods of Mathematical Physics, Vol. II Interscience, 1962).Google Scholar
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