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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 4, Pages 68–72 (Mi ivm9105)  
Method of plane waves for hyperbolic system with several spatial variables

A. M. Romanovskaya

Plekhanov Russian University of Economics, Omsk Branch, 10 Let Oktyabrya str., 195, bld. 18, Omsk, 644009 Russia
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Abstract: 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.
Received: 02.10.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 4, Pages 56–59
DOI: https://doi.org/10.3103/S1066369X16040083
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. M. Romanovskaya, “Method of plane waves for hyperbolic system with several spatial variables”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 4, 68–72; Russian Math. (Iz. VUZ), 60:4 (2016), 56–59
Citation in format AMSBIB
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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