Тип публикации: статья из журнала
Год издания: 2004
Ключевые слова: characteristic, invariant, Darboux's method
Аннотация: We introduce the notion of an invariant of characteristics for a system of first-order partial differential equations. We prove that the existence of invariants is connected with passiveness of some systems. We describe a few methods for construction of new invariants from those already known. We give a scheme for application of thПоказать полностьюe invariants to reduction and integration of systems of partial differential equations. As an application we consider the equation of gas dynamics.
Журнал: Siberian Mathematical Journal
Выпуск журнала: Т. 45, № 3
Номера страниц: 475-487
ISSN журнала: 00374466
Место издания: Новосибирск
Издатель: Springer-Verlag GmbH