Year: 2024
Type: book-chapter
Abstract: Dispersion introduces asynchronism in the nonlinear interaction of frequency components in a wave, which reduces the efficiency of energy transfer between harmonics. Two examples of weak dispersion are considered, one due to relaxation, for which an analytical solution for a step shock is available, and another due to thermoviscous boundary layers in ducts. Strong dispersion is considered for propagation of sound in nonplanar waveguide modes, with a nonlinear Schrödinger equation presented for narrowband pulses. Also considered is propagation in bubbly liquids, with a nonlinear evolution equation and coefficient of nonlinearity developed for sound at frequencies below the bubble resonances.
Source: Springer eBooks
Institution: The University of Texas at Austin
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Funder: University of Texas at Austin
OpenAlex ID: W4404354037