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ON THE q-DEFORMED MODIFIED KADOMTSEV-PETVIASHVILI HIERARCHY AND ITS ADDITIONAL SYMMETRIES
被引:0
作者
:
Tian, Kelei
论文数:
0
引用数:
0
h-index:
0
机构:
Hefei Univ Technol, Dept Math, Hefei 230009, Anhui, Peoples R China
Hefei Univ Technol, Dept Math, Hefei 230009, Anhui, Peoples R China
Tian, Kelei
[
1
]
Ge, Yanyan
论文数:
0
引用数:
0
h-index:
0
机构:
Hefei Univ Technol, Dept Math, Hefei 230009, Anhui, Peoples R China
Hefei Univ Technol, Dept Math, Hefei 230009, Anhui, Peoples R China
Ge, Yanyan
[
1
]
Zhu, Xiaoming
论文数:
0
引用数:
0
h-index:
0
机构:
Hefei Univ Technol, Dept Math, Hefei 230009, Anhui, Peoples R China
Hefei Univ Technol, Dept Math, Hefei 230009, Anhui, Peoples R China
Zhu, Xiaoming
[
1
]
机构
:
[1]
Hefei Univ Technol, Dept Math, Hefei 230009, Anhui, Peoples R China
来源
:
ROMANIAN REPORTS IN PHYSICS
|
2017年
/ 69卷
/ 02期
基金
:
中国国家自然科学基金;
关键词
:
q-derivative;
q-mKP hierarchy;
additional symmetries;
Q-KP HIERARCHY;
EQUATIONS;
TRANSFORMATIONS;
REPRESENTATION;
D O I
:
暂无
中图分类号
:
O4 [物理学];
学科分类号
:
0702 ;
摘要
:
The paper aims to construct the q-deformed modified Kadomtsev-Petviashvili (q-mKP) hierarchy and its additional symmetries. The results give the different properties and relationship between the q-mKP hierarchy and the classical mKP hierarchy.
引用
收藏
页数:11
相关论文
共 24 条
[1]
A LAX REPRESENTATION FOR THE VERTEX OPERATOR AND THE CENTRAL EXTENSION
ADLER, M
论文数:
0
引用数:
0
h-index:
0
机构:
KYOTO UNIV,DEPT MATH,KYOTO 60601,JAPAN
ADLER, M
SHIOTA, T
论文数:
0
引用数:
0
h-index:
0
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KYOTO UNIV,DEPT MATH,KYOTO 60601,JAPAN
SHIOTA, T
VANMOERBEKE, P
论文数:
0
引用数:
0
h-index:
0
机构:
KYOTO UNIV,DEPT MATH,KYOTO 60601,JAPAN
VANMOERBEKE, P
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1995,
171
(03)
: 547
-
588
[2]
The "ghost" symmetry of the BKP hierarchy
Cheng, Jipeng
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
Cheng, Jipeng
He, Jingsong
论文数:
0
引用数:
0
h-index:
0
机构:
Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
He, Jingsong
Hu, Sen
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引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
Hu, Sen
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
2010,
51
(05)
[3]
RECURSION OPERATORS FOR KP, mKP AND HARRY DYM HIERARCHIES
Cheng, Jipeng
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0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
NBU, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
Cheng, Jipeng
Wang, Lihong
论文数:
0
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0
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0
机构:
NBU, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
NBU, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
Wang, Lihong
He, Jingsong
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引用数:
0
h-index:
0
机构:
NBU, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
NBU, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
He, Jingsong
[J].
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS,
2011,
18
(01)
: 161
-
178
[4]
KP HIERARCHIES OF ORTHOGONAL AND SYMPLECTIC TYPE - TRANSFORMATION GROUPS FOR SOLITON-EQUATIONS .6.
DATE, E
论文数:
0
引用数:
0
h-index:
0
DATE, E
JIMBO, M
论文数:
0
引用数:
0
h-index:
0
JIMBO, M
KASHIWARA, M
论文数:
0
引用数:
0
h-index:
0
KASHIWARA, M
MIWA, T
论文数:
0
引用数:
0
h-index:
0
MIWA, T
[J].
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,
1981,
50
(11)
: 3813
-
3818
[5]
DICKEY LA, 2003, SOLITON EQUATIONS HA
[6]
Additional symmetries and string equation of the CKP hierarchy
He, Jingsong
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
He, Jingsong
Tian, Kelei
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Tian, Kelei
Foerster, Angela
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Foerster, Angela
Ma, Wen-Xiu
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Ma, Wen-Xiu
[J].
LETTERS IN MATHEMATICAL PHYSICS,
2007,
81
(02)
: 119
-
134
[7]
q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy
He, Jingsong
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Univ Warwick, Ctr Comp Sci, Coventry CV4 7AL, W Midlands, England
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
He, Jingsong
Li, Yinghua
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Li, Yinghua
Cheng, Yi
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Cheng, Yi
[J].
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS,
2006,
2
[8]
q-KP hierarchy, bispectrality and Calogero-Moser systems
Iliev, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium
Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium
Iliev, P
[J].
JOURNAL OF GEOMETRY AND PHYSICS,
2000,
35
(2-3)
: 157
-
182
[9]
Tau function solutions to a q-deformation of the KP hierarchy
Iliev, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium
Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium
Iliev, P
[J].
LETTERS IN MATHEMATICAL PHYSICS,
1998,
44
(03)
: 187
-
200
[10]
Kac V. G., 2002, Quantum Calculus, V113
←
1
2
3
→
共 24 条
[1]
A LAX REPRESENTATION FOR THE VERTEX OPERATOR AND THE CENTRAL EXTENSION
ADLER, M
论文数:
0
引用数:
0
h-index:
0
机构:
KYOTO UNIV,DEPT MATH,KYOTO 60601,JAPAN
ADLER, M
SHIOTA, T
论文数:
0
引用数:
0
h-index:
0
机构:
KYOTO UNIV,DEPT MATH,KYOTO 60601,JAPAN
SHIOTA, T
VANMOERBEKE, P
论文数:
0
引用数:
0
h-index:
0
机构:
KYOTO UNIV,DEPT MATH,KYOTO 60601,JAPAN
VANMOERBEKE, P
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
1995,
171
(03)
: 547
-
588
[2]
The "ghost" symmetry of the BKP hierarchy
Cheng, Jipeng
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
Cheng, Jipeng
He, Jingsong
论文数:
0
引用数:
0
h-index:
0
机构:
Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
He, Jingsong
Hu, Sen
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
Hu, Sen
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
2010,
51
(05)
[3]
RECURSION OPERATORS FOR KP, mKP AND HARRY DYM HIERARCHIES
Cheng, Jipeng
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
NBU, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
Cheng, Jipeng
Wang, Lihong
论文数:
0
引用数:
0
h-index:
0
机构:
NBU, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
NBU, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
Wang, Lihong
He, Jingsong
论文数:
0
引用数:
0
h-index:
0
机构:
NBU, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
NBU, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
He, Jingsong
[J].
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS,
2011,
18
(01)
: 161
-
178
[4]
KP HIERARCHIES OF ORTHOGONAL AND SYMPLECTIC TYPE - TRANSFORMATION GROUPS FOR SOLITON-EQUATIONS .6.
DATE, E
论文数:
0
引用数:
0
h-index:
0
DATE, E
JIMBO, M
论文数:
0
引用数:
0
h-index:
0
JIMBO, M
KASHIWARA, M
论文数:
0
引用数:
0
h-index:
0
KASHIWARA, M
MIWA, T
论文数:
0
引用数:
0
h-index:
0
MIWA, T
[J].
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,
1981,
50
(11)
: 3813
-
3818
[5]
DICKEY LA, 2003, SOLITON EQUATIONS HA
[6]
Additional symmetries and string equation of the CKP hierarchy
He, Jingsong
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
He, Jingsong
Tian, Kelei
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Tian, Kelei
Foerster, Angela
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Foerster, Angela
Ma, Wen-Xiu
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Ma, Wen-Xiu
[J].
LETTERS IN MATHEMATICAL PHYSICS,
2007,
81
(02)
: 119
-
134
[7]
q-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy
He, Jingsong
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Univ Warwick, Ctr Comp Sci, Coventry CV4 7AL, W Midlands, England
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
He, Jingsong
Li, Yinghua
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Li, Yinghua
Cheng, Yi
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
Cheng, Yi
[J].
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS,
2006,
2
[8]
q-KP hierarchy, bispectrality and Calogero-Moser systems
Iliev, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium
Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium
Iliev, P
[J].
JOURNAL OF GEOMETRY AND PHYSICS,
2000,
35
(2-3)
: 157
-
182
[9]
Tau function solutions to a q-deformation of the KP hierarchy
Iliev, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium
Univ Catholique Louvain, Dept Math, B-1348 Louvain, Belgium
Iliev, P
[J].
LETTERS IN MATHEMATICAL PHYSICS,
1998,
44
(03)
: 187
-
200
[10]
Kac V. G., 2002, Quantum Calculus, V113
←
1
2
3
→