title: Asymptotic behavior of a frequency-domain nonlinearity indicator for solutions to the generalized Burgers equation.
abstract: A frequency-domain nonlinearity indicator has previously been characterized for two analytical solutions to the generalized Burgers equation (GBE) [Reichman, Gee, Neilsen, and Miller, J. Acoust. Soc. Am. 139, 2505-2513 (2016)], including an analytical, asymptotic expression for the Blackstock Bridging Function. This letter gives similar old-age analytical expressions of the indicator for the Mendousse solution and a computational solution to the GBE with spherical spreading. The indicator can be used to characterize the cumulative nonlinearity of a waveform with a single-point measurement, with suggested application to noise waveforms as well.
authors.affiliation: Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA kglenmiller@gmail.com, kentgee@byu.edu, brent.reichman@gmail.com.
authors.forename: Kyle G
authors.initials: KG
authors.lastname: Miller
authors.affiliation: Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA kglenmiller@gmail.com, kentgee@byu.edu, brent.reichman@gmail.com.
authors.forename: Kent L
authors.initials: KL
authors.lastname: Gee
authors.affiliation: Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA kglenmiller@gmail.com, kentgee@byu.edu, brent.reichman@gmail.com.
authors.forename: Brent O
authors.initials: BO
authors.lastname: Reichman