A [[Wave Pulse]] caries [[Energy]] as it travels.
Relating [[Kinetic Energy]] and [[Elastic Potential Energy]] with the [[Wave Equation]],
$\huge \begin{align}
E_{P} &= \frac{1}{2}kx^{2} \\
E_{K} &= \frac{1}{2}mv^{2} \\
E&= \frac{1}{2}kA^{2} = \frac{1}{2}m(\omega A)^{2}
\end{align}$
$\huge \begin{align}
m &= \rho V = \rho S ct
\end{align}$
Where $\rho$ represents [[Density]], $S$ is the cross sectional [[Area]], $c$ is the [[Wave Speed]], and $t$ represents [[Time Domain|time]].
$\huge \boxed{E = \frac{1}{2}\rho Sct \omega^{2}A^{2}} $