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Kaptsov, O. V. Characteristic invariants and Darboux's method / O. V. Kaptsov, A. V. Zabluda> // J. Phys. A. - 2005. - Vol. 38, Is. 14. - P. 3133-3144, DOI 10.1088/0305-4470/38/14/005. - Cited References: 22
. - ISSN 0305-4470РУБ Physics, Multidisciplinary + Physics, Mathematical Рубрики: PARTIAL-DIFFERENTIAL-EQUATIONS MOVING COFRAMES SYSTEMS Аннотация: We develop a method that allows us to derive reductions and solutions to hyperbolic systems of partial differential equations. The method is based on using functions that are constant in the direction of characteristics of the system. These functions generalize well-known Riemann invariants. As applications we consider the gas dynamics system and ideal magnetohydrodynamics equations. In special cases, we find solutions of these equations depending on some arbitrary functions.
WOS, Scopus, Читать в сети ИФ Держатели документа: RAS, Inst Computat Modelling, SB, Krasnoyarsk 660036, Russia ИВМ СО РАН Institute of Computational Modelling, SB, RAS, Akademgorodok, Krasnoyarsk, 660036, Russian Federation Доп.точки доступа: Zabluda, A. V. } Найти похожие
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