Nonlinear fractional waves at elastic interfaces

2017/02/28 by Julian Kappler, Shamit Shrivastava, Matthias F. Schneider +1
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Acoustic Wave Resonator Technologies #Amplitude #Excitation #Fractional calculus #Lipid Membrane Structure and Behavior #Nonlinear acoustics #Nonlinear system #Range (aeronautics) #Spectroscopy and Quantum Chemical Studies #Wave equation #Wave propagation #physics.bio-ph #physics.flu-dyn

paper · pdf · doi:10.1103/physrevfluids.2.114804

published as Phys. Rev. Fluids 2, 114804 (2017) · 12 pages, 7 figures; supplemental information provided as ancillary file

arxiv created 2017/02/28 · openalex created_date 2017/04/07 · openalex publication_date 2017/11/20 · arxiv updated 2017/11/29 · openalex updated_date 2026/08/05

Abstract

A nonlinear fractional wave equation for 2D sound waves at interfaces is derived from first principles. Numerical solutions of the equation reproduce experimental key features, namely an abrupt increase in range accompanied by a slight increase in wave velocity at a threshold excitation amplitude.

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