'Longitudinal waves are waves in which the displacement of the medium is in the same direction as, or the opposite direction to, the direction of propagation of the wave. ... The other main type of wave is the transverse wave, in which the displacements of the medium are at right angles to the direction of propagation.'
My question was essentially asked before. See:
but was never answered. Maybe the answer is that it can not be done--so then the answer to my question would be yes.
My question is: Can the same 1D wave equation be used for transverse waves on strings and longitudinal waves from infinite planar sources?
A Google search for 'longitudinal vs transverse wave equation' did not produce an answer that I could find.
I would appreciate any additional info along with the yes or no.