Geodesic
The roots of the Rayleigh characteristic equation for rational values of the parameter
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 16 (2024) no. 1, pp. 56-59

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The roots of the Rayleigh characteristic equation for surface waves are obtained under the assumption that the square of the ratio of the velocities of volume waves is a rational number. The exact formulas for the roots contain a minimum of radicals and rational numbers.
Keywords: surface waves, Rayleigh wave velocity, roots of the characteristic equation, exact formulas. 
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S. Yu. Gurevich; D. G. Kozhevnikov; E. V. Golubev. The roots of the Rayleigh characteristic equation for rational values of the parameter. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 16 (2024) no. 1, pp. 56-59. http://geodesic.mathdoc.fr/item/VYURM_2024_16_1_a6/