Abstract
The simplest form of the solution of the general elastic equation of wave‐motion is y = sin (2π/λ) (x − νt), where λ is the wavelength and ν the velocity; x and t are the distance and time, respectively. This equation extends from minus infinity to plus infinity, both in distance and in time. The conditions introduced to determine the movement of a seismograph acted upon by such a disturbance, though mathematically correct, lead to physical impossibilities. Another solution of the general equation was suggested which gives the disturbance a definite front, where the medium is at rest in its position of equilibrium, and does not require the introduction of impulsive velocities, as, for instance, in Love's treatment of wave‐motion.
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