The Virasoro action on the tau function for the constrained discrete KP hierarchy

被引：7

作者：

Cheng, Jipeng ^{[1
]}

Li, Maohua ^{[2
]}

He, Jingsong ^{[2
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China

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

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2013年 / 20卷 / 04期

关键词：

the constrained discrete KP hierarchy; squared eigenfunction symmetry; additional symmetries; ADDITIONAL SYMMETRIES; REPRESENTATION;

D O I：

10.1080/14029251.2013.868266

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the help of the squared eigenfunction potential, the action of the Virasoro symmetry on the tau function of the constrained discrete KP hierarchy is derived.

引用

页码：529 / 538

页数：10

共 27 条

[1] 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

[2]

[Anonymous], 1994, LECT INTEGRABLE SYST

[3] Method of squared eigenfunction potentials in integrable hierarchies of KP type [J].

Aratyn, H ;

Nissimov, E ;

Pacheva, S .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 193 (03) :493-525

[4] Constrained KP hierarchies: Additional symmetries, Daarboux-Backlund solutions and relations to multi-matrix models [J].

Aratyn, H ;

Nissimov, E ;

Pacheva, S .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (07) :1265-1340

[5] ON A NEW HIERARCHY OF SYMMETRIES FOR THE KADOMTSEV PETVIASHVILI EQUATION [J].

CHEN, HH ;

LEE, YC ;

LIN, JE .

PHYSICA D, 1983, 9 (03) :439-445

[6] 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)

[7] The additional symmetries for the BTL and CTL hierarchies [J].

Cheng, Jipeng ;

Tian, Kelei ;

He, Jingsong .

JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (05)

[8] ON ADDITIONAL SYMMETRIES OF THE KP HIERARCHY AND SATOS BACKLUND TRANSFORMATION [J].

DICKEY, LA .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 167 (01) :227-233

[9]

DICKEY LA, 2003, SOLITON EQUATIONS HA

[10] THE HIERARCHY OF THE BENJAMIN-ONO-EQUATION [J].

FOKAS, AS ;

FUCHSSTEINER, B .

PHYSICS LETTERS A, 1981, 86 (6-7) :341-345

← 1 2 3 →