Virasoro symmetries of the dispersionless coupled constrained KP hierarchy

被引：0
|
作者：
Luo, Xiaoman [1 ]
Li, Chuanzhong [1 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2023年 / 38卷 / 15-16期
基金：
中国国家自然科学基金;
关键词：
Dispersionless coupled constrained KP hierarchy; additional symmetries; Virasoro symmetries; Laurent series; ADDITIONAL SYMMETRIES; TRANSFORMATIONS; EQUATIONS;
D O I：
10.1142/S0217751X23500793
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
In this paper, we construct the dispersionless coupled constrained KP hierarchy. We also introduce vital formal Laurent series Y-l,Y-1, Y-l,Y- 2 to construct new flows, which lead out the additional symmetries of the dispersionless coupled constrained KP hierarchy. The additional flows construct a sub-algebra of the Virasoro algebra. In addition, we give the additional flows acting on mu(t, lambda), (mu) over cap (t, lambda) and rho(t, lambda), (rho) over cap (t, lambda) of the dispersionless coupled constrained KP hierarchy.
引用
收藏
页数：17
相关论文
共 50 条
  • [1] Virasoro symmetries of the constrained dispersionless mKP hierarchy
    Luo, Xiaoman
    Li, Chuanzhong
    [J]. PHYSICS LETTERS B, 2023, 843
  • [2] Additional symmetries and solutions of the dispersionless KP hierarchy
    Alonso, LM
    Mañas, M
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (08) : 3294 - 3308
  • [3] Coupled Modified KP Hierarchy and Its Dispersionless Limit
    Takebe, Takashi
    Teo, Lee-Peng
    [J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2006, 2
  • [4] The constrained dispersionless BKP hierarchy and its additional symmetries
    Tian, Kelei
    Li, Song
    Yi, Ge
    Xu, Ying
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2023, 38 (21):
  • [5] The Virasoro action on the tau function for the constrained discrete KP hierarchy
    Cheng, Jipeng
    Li, Maohua
    He, Jingsong
    [J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2013, 20 (04) : 529 - 538
  • [6] The Virasoro action on the tau function for the constrained discrete KP hierarchy
    Jipeng Cheng
    Maohua Li
    Jingsong He
    [J]. Journal of Nonlinear Mathematical Physics, 2013, 20 : 529 - 538
  • [7] Reductions of the Dispersionless KP Hierarchy
    M. Mañas
    L. Martínez Alonso
    E. Medina
    [J]. Theoretical and Mathematical Physics, 2002, 133 : 1712 - 1721
  • [8] Reductions of the dispersionless KP hierarchy
    Mañas, M
    Alonso, LM
    Medina, E
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2002, 133 (03) : 1712 - 1721
  • [9] On the waterbag model of dispersionless KP hierarchy
    Chang, Jen-Hsu
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (36): : 11217 - 11230
  • [10] Recursion Operators for Dispersionless KP Hierarchy
    程秋盛
    贺劲松
    [J]. Communications in Theoretical Physics, 2012, 58 (11) : 631 - 638
12345