Geodesic
The ray type solution for the wave of finite deformation in the physically linear nonlinear inhomogeneous elastic medium
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 45, Tome 438 (2015), pp. 118-132

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The paper is devoted to the ray types of finite deformation waves in the nonlinear, physically linear elastic media. The waves are a generalization of the Bland plane waves for the isotropic nonlinear media. For the waves the fast oscillation and slow oscillation parts are interacted during the process of propagation. Forms of the waves are adiabatically changed. An example of plane wave in the inhomogeneous media is considered. 
@article{ZNSL_2015_438_a8,
     author = {A. P. Kachalov},
     title = {The ray type solution for the wave of finite deformation in the physically linear nonlinear inhomogeneous elastic medium},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {118--132},
     publisher = {mathdoc},
     volume = {438},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_438_a8/}
}
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A. P. Kachalov. The ray type solution for the wave of finite deformation in the physically linear nonlinear inhomogeneous elastic medium. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 45, Tome 438 (2015), pp. 118-132. http://geodesic.mathdoc.fr/item/ZNSL_2015_438_a8/