Virginia Tech. Engineering Science and Mechanics DepartmentNayfeh, Ali H.2015-05-282015-05-281975Nayfeh, A. H. (1975). Nonlinear propagation of a wave packet in a hard-walled circular duct. Journal of the Acoustical Society of America, 57(4), 803-809. doi: 10.1121/1.3805220001-4966http://hdl.handle.net/10919/52726The 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.7 pagesapplication/pdfen-USIn CopyrightSpatial scalingNonlinear propagation of a wave packet in a hard-walled circular ductArticle - Refereedhttp://scitation.aip.org/content/asa/journal/jasa/57/4/10.1121/1.380522Journal of the Acoustical Society of Americahttps://doi.org/10.1121/1.380522