Properties of the averaging along the characteristics hyperbolic of the system operator

Abstract

Examing the averaged equations system with periodic initial conditions. Proved the lemmas, which allow to reorganize the system in to the form similar to a semi-linear hyperbolic system written in Riemann invariants. This allows to set conditions for the existence of the solution.

Keywords

• asymptotical methods
• averaging
• nonlinearwaves
• hyperbolic system