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When we were solving the wave equations in the case of $2$ different mediums, we were assuming that, when a longitudinal wave reaches the border, there will be 1 reflected longitudinal and 1 reflected transversal, and there will also be 1-1 transent wave. But, in the case of the initial wave is transversal, we were assuming only transversal waves. Why did we do it this way?

The equation is: $$\frac{\partial^2 \vec{u}}{\partial t^2}=c^2 \bigtriangleup \vec{u}$$

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    $\begingroup$ Can you explain where you find this and what kind of waves you mean? $\endgroup$
    – my2cts
    May 27, 2018 at 16:55
  • $\begingroup$ @my2cts It's from a class. Specifically, waves in continuum mechanics. $\endgroup$
    – Botond
    May 27, 2018 at 17:16

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