Category:Equation of Wave with Constant Velocity

This category contains pages concerning Equation of Wave with Constant Velocity:

Let $\phi$ be a wave which is propagated along the $x$-axis in the positive direction with constant velocity $c$ and without change of shape.

Let $\paren {\map \phi x}_{t \mathop = 0} = \map f x$ be the wave profile of $\phi$.

Then the disturbance of $\phi$ at point $x$ and time $t$ can be expressed using the equation:

$\map \phi {x, t} = \map f {x - c t}$

where:

$x$ denotes the distance from the origin along the $x$-axis

$t$ denotes the time.