Characteristic invariants and Darboux ’ s method

Abstract

We develop method that allows to derive reductions and solutions to hyper-bolic 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… (More)

Cite this paper

@inproceedings{Kaptsov2004CharacteristicIA, title={Characteristic invariants and Darboux ’ s method}, author={Oleg V. Kaptsov and A. V. Zabluda}, year={2004} }