This article is cited in 8 papers

Asimptotic behaviour of the solution of the Cauchy problem for the Volterra chain with step-like initial data

V. L. Vereshchagin

Irkutsk Computer Centre, Siberian Branch of RAS

Abstract: The connection between a solution of the Volterra chain tending at infinity to constans and the Riemannian curve of genus one modulated in the sence of Witham is described. The leading term of the asymptotic expansion of the solution is constructed.

Received: 03.12.1996

DOI: 10.4213/tmf1012

 English version: Theoretical and Mathematical Physics, 1997, 111:3, 658–666

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