On the full Kostant-Toda system and the discrete Korteweg-de Vries equations

被引：12

作者：

Barrios Rolania, D. ^{[1
]}

Branquinho, A. ^{[2
]}

Moreno, A. Foulquie ^{[3
]}

机构：

[1] Univ Politecn Madrid, Fac Informat, Boadilla Del Monte 28660, Spain

[2] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal

[3] Univ Aveiro, CIDMA, P-3800 Aveiro, Portugal

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 401卷 / 02期

关键词：

Operator theory; Orthogonal polynomials; Differential equations; Recurrence relations;

D O I：

10.1016/j.jmaa.2012.12.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The relation between the solutions of the full Kostant-Toda lattice and the discrete Korteweg-de Vries equation is analyzed. A method for constructing solutions of these systems is given. As a consequence of the matricial interpretation of this method, the transform of Darboux is extended for general Hessenberg banded matrices. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：811 / 820

页数：10

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