Asymptotic expansion of the solution to the cauchy problem for the volterra chain with a step-like initial condition

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作者
V. L. Vereshchagin
机构
[1] Russian Academy of Science,IrVTs, Siberian Branch
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Cauchy Problem; Riemann Surface; Riemann Problem; Lower Sheet; Inverse Scattering Method;
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摘要
We describe the relationship between the solution of the Volterra chain that tends asymptotically to constants at infinity and the Whitham-modulated genus-1 Riemann surface. We construct the leading term of the large-time asymptotic expansion of the solution to the Cauchy problem for the Volterra chain under consideration.
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页码:658 / 666
页数:8
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