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At higher frequencies, above about 1.5 kHz, the rail cross-section deforms and many higher order wave types exist.
This model, unlike previously developed analytical models, has elastic behavior and thus incorporates higher order wave motion that makes it accurate at higher wavenumbers and frequencies.
At high frequency (usually above the cut-off frequency of the A1 mode for Lamb waves and the n1 mode for SH waves, respectively), the monotonic trend does not hold in general due to the energy redistribution to the higher order wave modes.
For global existence and asymptotic behavior of solutions to more higher order wave equations, we refer to [7 14] and references therein.
Plane wave and higher-order waves components are identified.
A numerical example is then solved at high frequency that includes higher-order wave motion, and this example is discussed.
When, for the semilinear higher-order wave equation (1.1), Wang [23] shows that the scattering operators map a band in into if the nonlinearities have critical or subcritical powers in.
In this paper we consider the existence and asymptotic behavior of global solutions for the initial boundary problem of the nonlinear higher-order wave equation with nonlinear damping and source term: (1.1).
As the higher order diffraction waves other than zero order wave is not to propagate, the effective medium theory can precisely evaluate the transmittance within the error of about 1.2%.
The anti-symmetric higher order lamb waves generated on thin glass plate generates compressional waves in the liquid to induce fluid motion.
The method explicitly accounts for the interaction between the unit cell and the surrounding acoustic domain, also accounting for higher order periodic waves.
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