Asymptotic behavior of a frequency-domain nonlinearity indicator for solutions to the generalized Burgers equation | Zendy

Kyle Miller | Zendy; Kent L. Gee | Zendy; Brent O. Reichman | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Asymptotic behavior of a frequency-domain nonlinearity indicator for solutions to the generalized Burgers equation

Author(s) -

Kyle Miller,

Kent L. Gee,

Brent O. Reichman

Publication year - 2016

Publication title -

the journal of the acoustical society of america

Language(s) - English

Resource type - Journals

eISSN - 1520-8524

pISSN - 0001-4966

DOI - 10.1121/1.4971880

Subject(s) - nonlinear system , burgers' equation , waveform , frequency domain , mathematics , mathematical analysis , time domain , nonlinear acoustics , expression (computer science) , physics , computer science , telecommunications , partial differential equation , quantum mechanics , computer vision , radar , programming language

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research