Algebraic aspects of the discrete KP hierarchy

被引：11
作者：
Felipe, R
Ongay, F
机构：
[1] CIMAT, Guanajuato, GTO, Mexico
[2] ICIMAF, Havana, Cuba
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 338卷
关键词：
discrete KP hierarchy; Borel decomposition; infinite dimensional integrable systems;
D O I：
10.1016/S0024-3795(01)00365-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss some algebraic properties of the so-called discrete KP hierarchy, an integrable system defined on a space of infinite matrices. We give an algebraic proof of the complete integrability of the hierarchy, which we achieve by means of a factorization result for infinite matrices, that extends a result of M. Adler and P. Van Moerbeke [Commun. Math. Plays. 203 (1999) 185; 207 (1999) 589] for the case of (semi-infinite) moment matrices, and that we call a Borel decomposition. (C) 2001 Elsevier Science Inc. All rights reserved.
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页码：1 / 17
页数：17
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