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.

引用

页码：658 / 662

页数：5

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