Symmetries and Their Lie Algebra of a Variable Coefficient Korteweg-de Vries Hierarchy

被引：4

作者：

Zhu, Xiaoying ^{[1
]}

Zhang, Dajun ^{[2
]}

机构：

[1] Shandongjianzhu Univ, Coll Sci, Jinan 250101, Peoples R China

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2016年 / 37卷 / 04期

基金：

中国国家自然科学基金;

关键词：

vcKdV hierarchies; Symmetries; Lie algebra; AUTO-BACKLUND TRANSFORMATION; EVOLUTION-EQUATIONS; MASTER SYMMETRIES; LAX OPERATORS; KDV EQUATION;

D O I：

10.1007/s11401-016-1020-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Isospectral and non-isospectral hierarchies related to a variable coefficient Painleve integrable Korteweg-de Vries (KdV for short) equation are derived. The hierarchies share a formal recursion operator which is not a rigorous recursion operator and contains t explicitly. By the hereditary strong symmetry property of the formal recursion operator, the authors construct two sets of symmetries and their Lie algebra for the isospectral variable coefficient Korteweg-de Vries (vcKdV for short) hierarchy.

引用

页码：543 / 552

页数：10

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