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A wave equation is represented as
\[
r=A \sin \left[\alpha\left(\frac{x-y}{2}\right)\right] \cos \left[\omega t-\alpha\left(\frac{x+y}{2}\right)\right],
\]
where \( x \) and \( y \) are in metres and \( t \) is in seconds. Then,
(1) the wave is a stationary wave.
(2) the wave is a progressive wave propagating along \( +x \)-axis.
(3) the wave is a progressive wave propagating at right angle to the \( +x \)-axis
(4), all points lying on line \( y=x+(4 \pi / \alpha) \) are always at rest.
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