  Basing on our results [1] on a representation of solutions to the Cauchy
problem for multidimensional non-viscous Burgers equation obtained by a method
of stochastic perturbation of the associated Langevin system, we deduce an
explicit asymptotic formula for smooth solutions to the Cauchy problem for any
genuinely nonlinear hyperbolic system of equations written in the Riemann
invariants.
