A note on the generalized symmetries of lattice hierarchies

被引：7

作者：

Gordoa, P. R. ^{[1
]}

Pickering, A. ^{[1
]}

Zhu, Z. N. ^{[2
]}

机构：

[1] Univ Rey Juan Carlos, ESCET, Dpto Matemat Aplicada, Madrid 28933, Spain

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 356卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Generalized symmetries; Recursion operators; Lattice hierarchies; Differential-delay equations; EVOLUTION-EQUATIONS; BACKLUND-TRANSFORMATIONS; HEREDITARY SYMMETRIES;

D O I：

10.1016/j.jmaa.2009.01.068

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the recursion operators of the integrable lattice equations Usually considered in the literature can also be used to generate hierarchies of differential-delay equations. All members of these hierarchies of lattice and differential-delay equations commute. It is thus seen that differential-delay hierarchies provide a broader context within which to place lattice hierarchies. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：378 / 381

页数：4

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