Rayleigh wave solitons in layered media
In: The Journal of the Acoustical Society of America, Jg. 103 (1998-05-01), S. 2926-2926
Online
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Zugriff:
The problem of weakly dispersive long waves in a thin nonlinear solid layer over a linear isotropic solid half‐space is formulated as a nonlinear thin plate problem with one free surface and one surface bonded to the underlying linear isotropic half‐space. If terms cubic in the displacement gradient are retained in the nonsymmetric Piola–Kirchoff stress tensor, a multiple‐scale perturbation analysis of the equations of motion leads to the Benjamin–Ono equation ut+αuux+βH[uxx]=0, where u is a particle displacement, H[⋅] indicates the Hilbert transform, and α and β are constants that depend on the material properties of the layer and half‐space. The Benjamin–Ono equation admits soliton solutions, and can be solved by the inverse scattering transform. This work may provide a mathematical model for small amplitude nonlinear seismic waves propagating in a thin sediment layer over a much harder basement. It may also have application to surface acoustic wave (SAW) device physics.
Titel: |
Rayleigh wave solitons in layered media
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Autor/in / Beteiligte Person: | Odom, Robert I. |
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Zeitschrift: | The Journal of the Acoustical Society of America, Jg. 103 (1998-05-01), S. 2926-2926 |
Veröffentlichung: | Acoustical Society of America (ASA), 1998 |
Medientyp: | unknown |
ISSN: | 0001-4966 (print) |
DOI: | 10.1121/1.422138 |
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