Nonautonomous discrete integrable systems

被引：10
|
作者：
Willox, R
Tokihiro, T
Satsuma, J
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 153, Japan
[2] Free Univ Brussels, Dienst Theoret Nat Kunde, B-1050 Brussels, Belgium
来源：
CHAOS SOLITONS & FRACTALS | 2000年 / 11卷 / 1-3期
关键词：
D O I：
10.1016/S0960-0779(98)00276-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is explained how a description of integrable systems using fermion operators leads in a natural way to the notions of Darboux and binary Darboux transformations. This approach is illustrated for a nonautonomous version of the discrete KP (dKP) equation. As an application of this technique, solutions - some of which are expressed in terms of special functions - are discussed. The ultra-discrete limit is then performed to obtain a nonautonomous ultra-discrete system with particularly interesting soliton behaviour. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：121 / 135
页数：15
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