## Longitudinal waves of a finite amplitude in nonlinear elastic media

**Ivan A. Molotkov**,
**Ivan Psencik**
### Summary

Asymptotic solution of equations of motion for a longitudinal wave propagating
in a nonlinear elastic homogeneous medium is sought. The solution consists of the
basic term known from the solution of linear problems, and from two corrections
caused by nonlinearity of the medium. Nonlinearity leads to several interesting
phenomena unknown in linear media. Examples are appearance of a wave with
doubled frequency with respect to the basic mode, or appearance of transverse
component of the displacement vector of the longitudinal wave propagating in
a homogeneous medium.

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In: Seismic Waves in Complex 3-D Structures, Report 14,
pp. 197-202, Dep. Geophys., Charles Univ., Prague, 2004.

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