The given wave equation is:
\[ y(x, t) = 2 y_{m} \sin(kx - \omega t) \cos\left(\frac{\Delta k}{2} x - \frac{\Delta \omega}{2} t\right) \]
This represents a wave packet, which is a product of two waves:
1. A carrier wave: \(\sin(kx - \omega t)\)
2. An envelope
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