General solution The general solution contains forward and reverse travelling waves of arbitrary shape, and has the form
It may easily be confirmed that this solution satisfies equation 2.7 when the parameter
c, which has the significance of the velocity of the wave in either the forward or backward
direction, has the value
The general solution can be seen to be a linear combination of independent waves Vf
and Vr travelling in the forward and backward directions resepctively. The velocities of
the forward and backward waves are equal. The shapes of the forward and backward
waves can in the general case be quite arbitrary and independent.
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