An elastic wave in an infinite plate. Rayleigh waves have horizontal displacement and the motion of a point in the medium is an ellipse. Eric Weisstein's World of Math
Love Wave, Pochhammer-Chree Wave, Surface Wave
References
Achenbach, J. D. Wave Propagation in Elastic Solids. New York: Elsevier, 1984.
Lamb, H. "On Waves in an Elastic Plate." Proc. Roy. Soc. London, Ser. A 93, 114-128, 1917.
Landau, L. D. and Lifschitz, E. M. Theory of Elasticity, 3rd rev. enl. ed. Oxford, England: Pergamon Press, 1986.
Graff, K. F. "Continuous Waves in a Plate." §8.1 in Wave Motion in Elastic Solids. New York: Dover, pp. 431-463, 1991.
Rayleigh, J. W. S. Proc. London Math. Soc. 17, 1887.
Rayleigh, J. W. S. The Theory of Sound, Vol. 1, 2nd ed., rev. and enl. New York: Dover, 1976.
Rayleigh, J. W. S. The Theory of Sound, Vol. 2, 2nd ed., rev. and enl. New York: Dover, 1976.