The gauge transformation of the q-deformed modified KP hierarchy

被引：14

作者：

Cheng, Jipeng ^{[1
]}

Wang, Jinzheng ^{[2
]}

Zhang, Xingyong ^{[1
]}

机构：

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

[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2014年 / 21卷 / 04期

关键词：

q-KP hierarchy; q-mKP hierarchy; gauge transformation; 35Q53; 37K10; 37K40; DE-VRIES HIERARCHY; Q-DEFORMATION; EQUATIONS;

D O I：

10.1080/14029251.2014.975526

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we mainly study three types of gauge transformation operators for the q-mKP hierarchy. The successive applications of these gauge transformation operators are derived. And the corresponding communities between them are also investigated.

引用

页码：533 / 542

页数：10

共 28 条

[21]

Oevel W., 1996, NONLINEAR PHYS THEOR, P233

[22] q-analogue of modified KP hierarchy and its quasi-classical limit [J].

Takasaki, K .

LETTERS IN MATHEMATICAL PHYSICS, 2005, 72 (03) :165-181

[23]

Tian K. L., ARXIV14030169

[24] String equations of the q-KP hierarchy [J].

Tian, Kelei ;

He, Jingsong ;

Su, Yucai ;

Cheng, Yi .

CHINESE ANNALS OF MATHEMATICS SERIES B, 2011, 32 (06) :895-904

[25] On darboux-backlund transformations for the Q-deformed Korteweg-de Vries hierarchy [J].

Tu, MH ;

Shaw, JC ;

Lee, CR .

LETTERS IN MATHEMATICAL PHYSICS, 1999, 49 (01) :33-45

[26] On the q-deformed modified Korteweg-de Vries hierarchy [J].

Tu, MH ;

Lee, CR .

PHYSICS LETTERS A, 2000, 266 (2-3) :155-159

[27] The q deformation of AKNS-D hierarchy [J].

Wang, SK ;

Wu, K ;

Wu, XN ;

Yu, DL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (45) :9641-9651

[28] Binary Darboux transformations for constrained KP hierarchies [J].

Willox, R ;

Loris, I ;

Gilson, CR .

INVERSE PROBLEMS, 1997, 13 (03) :849-865

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