Nonlinear propagation of a wave packet in a hard-walled circular duct
Nayfeh, Ali H.
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The method of multiple scales is used to derive a nonlinear Schridinger equation for the temporal and spatial modulation of the amplitudes and the phases of waves propagating in a hard-walled circular duct. This equation is used to show that monochromatic waves are stable and to determine the amplitude dependance of the cutoff frequencies.