4. Non-linear acoustics

In 3 , the amplitude of the acoustic wave has been assumed to be very small, and the quadratic terms of the equations of motion have been neglected. The one-dimensional solution v (x, t) = f (x ± c ₀ t)

of the linearized equations of hydrodynamics and equation of state, is a traveling plane wave propagating at constant velocity c ₀ , without changing...