Geodesic
Propagation of waves along a slowly bent piezoelectric rod
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 191-202

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The waveguide modes of a curved piezoelectric rod are considered. The propagation of the waves along the rod is studied by the ray method. The transport equations, which describe change of the intensity along the rays, are solved. 
@article{ZNSL_1998_250_a12,
     author = {V. V. Lukyanov},
     title = {Propagation of waves along a slowly bent piezoelectric rod},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {191--202},
     publisher = {mathdoc},
     volume = {250},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a12/}
}
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V. V. Lukyanov. Propagation of waves along a slowly bent piezoelectric rod. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 27, Tome 250 (1998), pp. 191-202. http://geodesic.mathdoc.fr/item/ZNSL_1998_250_a12/