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Proceeding from the method of stochastic perturbation of a Langevin systemassociated with the non-viscous Burgers equation we construct a solution to theRiemann problem for the non-interacting particles and sticky particles systems.We analyze the difference in the behavior of discontinuous solutions for thesetwo models and relations between them.

The Riemann problem to the stochastically perturbed non-viscous Burgers equation and the pressureless gas dynamics model