Self-similar asymptotics in the decay problem for the Volterra lattice with zero boundary condition

Abstract

The article is devoted to the problem of decay of initial stationary state for the Volterra lattice with zero boundary condition. We show that this process is asymptotically self-similar and calculate the propagation velocity of the decay wave, the leading terms of the asymptotics and corrections, in the main and transition sectors of the wave.

34 pages, 12 figures