Two unified formulae

被引：21

作者：

Guo, Fukui ^{[1
]}

Zhang, Yufeng ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Informat Sch, Qingdao Huangdao 266510, Peoples R China

来源：

PHYSICS LETTERS A | 2007年 / 366卷 / 4-5期

关键词：

trace identity; quadratic-form identity; tri-trace identity; Hamiltonian structure;

D O I：

10.1016/j.physleta.2007.02.062

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The trace identity, the quadratic-form identity and the tri-trace identity, which all contain the constant gamma, are all simple and powerful tools for producing Hamiltonian structure. The first formula obtained in the Letter is a unified expression of the above three formulas. Its role is to open an approach for setting up similar formulas in other mathematical or physical applications. The second formula given in the Letter is a unified computational one on the constant gamma which appears in the above three formulae. This succeeds in overcoming the problem on the computing the constant gamma, proposed by Tu Guizhang and left open for long time. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：403 / 410

页数：8

共 15 条

[1] Integrable systems of derivative nonlinear Schrodinger type and their multi-Hamiltonian structure [J].

Fan, E .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (03) :513-519

[2]

GUO F, 2006, IN PRESS CHAOS SOLIT

[3]

GUO F, 2007, IN PRESS COMMUN THEO

[4]

GUO F, 2007, UNPUB MOD PHYS LETT

[5]

Guo FK, 2006, COMMUN THEOR PHYS, V45, P799

[6] The quadratic-form identity for constructing the Hamiltonian structure of integrable systems [J].

Guo, FK ;

Zhang, YF .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (40) :8537-8548

[7] Expansion of the Lie algebra and its applications [J].

Guo, FK ;

Zhang, YF .

CHAOS SOLITONS & FRACTALS, 2006, 27 (04) :1048-1055

[8] A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system [J].

Guo, FK ;

Zhang, YF .

CHAOS SOLITONS & FRACTALS, 2004, 19 (05) :1207-1216

[9] A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling [J].

Guo, FK ;

Zhang, YF .

JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (12) :5793-5803

[10] A family of expanding integrable models of AKNS hierarchy of equations [J].

Guo, FK ;

Zhang, YF .

ACTA PHYSICA SINICA, 2002, 51 (05) :951-954

← 1 2 →