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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:401

Article

Barrios Rolania, D.¹  Branquinho, A.²  Moreno, A. Foulquie³ 

[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

关键词: Operator theory;    Orthogonal polynomials;    Differential equations;    Recurrence relations;   

DOI  :  10.1016/j.jmaa.2012.12.050

来源: Elsevier

【 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.

【 授权许可】

Free