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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kaptsov O. V., Zabluda A. V.
Заглавие : Characteristic invariants and Darboux's method
Место публикации : J. Phys. A. - 2005. - Vol. 38, Is. 14. - P.3133-3144. - ISSN 0305-4470, DOI 10.1088/0305-4470/38/14/005
Примечания : Cited References: 22
Предметные 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.
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