Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies

被引：24

作者：

Li, Chuanzhong ^{[1
]}

He, Jingsong ^{[1
]}

机构：

[1] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 11期

基金：

中国国家自然科学基金;

关键词：

KADOMTSEV-PETVIASHVILI EQUATION; ADDITIONAL SYMMETRIES; INTEGRABLE HIERARCHIES; TRANSFORMATION GROUPS; SOLITON-EQUATIONS; STRING EQUATION; TODA HIERARCHY; REPRESENTATION; OPERATOR; KP;

D O I：

10.1063/1.4829438

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct generalized additional symmetries of a two-component BKP hierarchy defined by two pseudo-differential Lax operators. These additional symmetry flows form a Block type algebra with some modified (or additional) terms because of a B type reduction condition of this integrable hierarchy. Further we show that the D type Drinfeld-Sokolov hierarchy, which is a reduction of the two-component BKP hierarchy, possess a complete Block type additional symmetry algebra. That D type Drinfeld-Sokolov hierarchy has a similar algebraic structure as the bigraded Toda hierarchy which is a differential-discrete integrable system. (C) 2013 AIP Publishing LLC.

引用

页数：14

共 43 条

[1]

Adler M, 1997, COMMUN PUR APPL MATH, V50, P241, DOI 10.1002/(SICI)1097-0312(199703)50:3<241::AID-CPA3>3.0.CO

[2]

2-B

[3] A LAX REPRESENTATION FOR THE VERTEX OPERATOR AND THE CENTRAL EXTENSION [J].

ADLER, M ;

SHIOTA, T ;

VANMOERBEKE, P .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 171 (03) :547-588

[4]

[Anonymous], 1984, Adv. Stud. Pure Math.

[5]

[Anonymous], 1994, LECT INTEGRABLE SYST

[6] A GENERALIZED SATO EQUATION AND THE W-INFINITY ALGEBRA [J].

AOYAMA, S ;

KODAMA, Y .

PHYSICS LETTERS B, 1992, 278 (1-2) :56-62

[7]

Block R., 1958, Proc. Am. Math. Soc., V9, P613

[8] The extended bigraded Toda hierarchy [J].

Carlet, Guido .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (30) :9411-9435

[9]

Chen M, 2012, J DIABETES RES CLIN, V1, P1

[10] The generalized additional symmetries of the two-Toda lattice hierarchy [J].

Cheng, Jipeng ;

Tian, Ye ;

Yan, Zhaowen ;

He, Jingsong .

JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (02)

← 1 2 3 4 5 →