Geodesic
On basilar membrane vibration in the mammalia cochlea
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 10, Tome 89 (1979), pp. 54-62

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The inner ear is considered as a hydrodynamic waveguide with slowly variable properties along its axis. The basilar membrane is interpretated as an anisotropic plate. A method similar to WKB-method is used for calculation of membrane's displacement. The results are illustrated by diagrams. 
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     author = {V. M. Babich and S. M. Novoselova},
     title = {On basilar membrane vibration in the mammalia cochlea},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     publisher = {mathdoc},
     volume = {89},
     year = {1979},
     language = {ru},
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V. M. Babich; S. M. Novoselova. On basilar membrane vibration in the mammalia cochlea. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 10, Tome 89 (1979), pp. 54-62. http://geodesic.mathdoc.fr/item/ZNSL_1979_89_a2/