The following simulation show a moving wave in 1D. y(x,t)=A sin(k*x-w*t)

You can change the period($T$) and wavelength($\lambda$) with slider.
$w=\frac{2\pi}{T}, k=\frac{2\pi}{\lambda}$

There is a step button(the bottom one), click it to move from t to t+dt (to find out how wave move forward)
Enjoy it!