A class of complex solutions to the finite Toda lattice

被引：3
|
作者：
Guseinov, Gusein Sh. [1 ]
机构：
[1] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2013年 / 57卷 / 5-6期
关键词：
Toda lattice; Jacobi matrix; Difference equation; Spectral data; Inverse spectral problem; INTEGRALS; SYSTEMS;
D O I：
10.1016/j.mcm.2012.10.022
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a class of complex-valued solutions to the finite Toda lattice is constructed by using the inverse spectral method. The corresponding Lax operator is a finite complex Jacobi matrix. As the initial values there are taken such complex numbers that the corresponding Jacobi matrix has a simple spectrum. Some examples are given. (C) 2012 Elsevier Ltd. All rights reserved.
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页码：1190 / 1202
页数：13
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