Time =

## Gaussian Wave

Initial condition: Gaussian function

Here we generate a wave given the initial condition of

\phi(x,0)=f(x)=Ae^{\frac{-(x-\mu)^2}{2\sigma^2}}

which is a Guassian function with amplitude $$A$$, mean $$\mu$$ and variance $$\sigma^2$$.

As in the previous exercise, we fix values of $$A$$,$$\mu$$, and $$\sigma^2$$. Vary $$c$$ and click "Initial Wave" to see the characteristic lines in the upper panel and the initial wave in the lower panel. Click "Generate Wave" to see the movement of the initial point on the wave in the $$(x,t)$$ plane concomitant with the generated wave in the lower panel.

$$A=$$
$$\mu=$$
$$\sigma^2=$$
$$c=$$