Сибирский федеральный университет

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 the 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

• Kaptsov O.V. (Institute of Numerical Modeling, Krasnoyarsk)

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