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

V. E. Adler; B. I. Suleimanov

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arXiv · 2606.13137

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

V. E. Adler·B. I. Suleimanov

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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.

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V. E. Adler, B. I. Suleimanov. 2026-06-11. Self-similar asymptotics in the decay problem for the Volterra lattice with zero boundary condition. https://arxiv.org/abs/2606.13137

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