On nonlinearity parameter in Nonlinear Schrodinger Equation (NLS)

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While I am studying the wave propagation in fluids, the amplitude modulation seems to be governed by the Nonlinear Schrodinger (NLS) equation. In some of the journal papers the nonlinearity parameter, N seems to be of high value (N≈O(104)) and so on. I understand that weak nonlinearity assumption is used in the paper. With N>>1 is the weak nonlinearity assumption valid?

Paper: A.H. Nayfeh. "Nonlinear propagation of a wave packet in a hard‐walled circular duct." The Journal of the Acoustical Society of America 57.4 (1975): 803-809.
 

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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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