Geodesic
Method of plane waves for hyperbolic system with several spatial variables
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2016), pp. 68-72

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In the 80ies of the last century Riemann's method for hyperbolic equations of second order was extended to hyperbolic systems of general form with one spatial variable. In this paper, this result is extended to hyperbolic systems of general form with several spatial variables with coefficients that depend on time.
Keywords: superposition of plane waves, Riemann matrices of the first and second kind, spatially homogeneous case. 
@article{IVM_2016_4_a7,
     author = {A. M. Romanovskaya},
     title = {Method of plane waves for hyperbolic system with several spatial variables},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {68--72},
     publisher = {mathdoc},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_4_a7/}
}
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A. M. Romanovskaya. Method of plane waves for hyperbolic system with several spatial variables. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2016), pp. 68-72. http://geodesic.mathdoc.fr/item/IVM_2016_4_a7/