Integrable boundary-value problem for the Volterra chain on the half-axis

被引：1
|
作者：
Vereshchagin, V. L. [1 ]
机构：
[1] Russian Acad Sci, Ufa Sci Ctr, Math Inst Comp Ctr, Ufa 450001, Russia
来源：
MATHEMATICAL NOTES | 2006年 / 80卷 / 5-6期
基金：
俄罗斯基础研究基金会;
关键词：
Volterra chain; quasiperiodic (finite-gap) solution; boundary-value problem; Abel mapping; Baker-Akhiezer function; theta-function; Riemann surface;
D O I：
10.1007/s11006-006-0186-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study quasiperiodic (finite-gap) solutions of the Volterra chain satisfying an integrable boundary condition on the semiaxis. From the set of general finite-gap solutions, only those corresponding to the boundary-value problem are singled out, the relevant condition being expressed as a system of algebraic equations.
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页码：658 / 662
页数：5
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