Two integrable couplings of the Tu hierarchy and their Hamiltonian structures

被引：14
|
作者：
Li, Zhu [1 ]
Dong, Huanhe [2 ]
机构：
[1] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Peoples R China
[2] Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266510, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 11期
关键词：
Tu hierarchy; vector loop algebra; integrable couplings; quadratic-form identity; Hamiltonian structure;
D O I：
10.1016/j.camwa.2007.10.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The double integrable couplings of the Tu hierarchy are worked out by use of Vector loop algebras (G) over tilde (6) and (G) over tilde (9) respectively. Also the Hamiltonian structures of the obtained system are given by the quadratic-form identity. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2643 / 2652
页数：10
相关论文
共 50 条
  • [1] Integrable Couplings of the Boiti-Pempinelli-Tu Hierarchy and Their Hamiltonian Structures
    Zhang, Huiqun
    Zhou, Yubin
    Xu, Junqin
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2016, 8 (04) : 588 - 598
  • [2] Integrable couplings and Hamiltonian structures of the L-hierarchy and the T-hierarchy
    Feng, Bmw
    Han, Bo
    Dong, Huanhe
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (07) : 1264 - 1271
  • [3] Hamiltonian structures of two integrable couplings of the modified AKNS hierarchy
    Zhang, Yufeng
    Hon, Y. C.
    MODERN PHYSICS LETTERS B, 2007, 21 (30): : 2063 - 2074
  • [4] Two Integrable Couplings of Modified Tu Hierarchy
    岳超
    刘照军
    于加东
    Communications in Theoretical Physics, 2010, 54 (08) : 203 - 207
  • [5] Two Integrable Couplings of Modified Tu Hierarchy
    Yue Chao
    Liu Zhao-Jun
    Yu Jia-Dong
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2010, 54 (02) : 203 - 207
  • [6] The double integrable couplings of tu hierarchy
    Feng, Bin-Lu
    Han, Bo
    Wei, Yuan
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2007, 48 (01) : 14 - 18
  • [7] The Double Integrable Couplings of Tu Hierarchy
    FENG Bin-Lu HAN Bo Department of Mathematics
    Communications in Theoretical Physics, 2007, 48 (07) : 14 - 18
  • [8] Integrable couplings of the TC hierarchy and its hamiltonian structure
    Li, Zhu
    Zhang, Yujuan
    Dong, Huanhe
    MODERN PHYSICS LETTERS B, 2007, 21 (10): : 595 - 602
  • [9] On New Hamiltonian Structures of Two Integrable Couplings
    Liu, Yu
    Liu, Jin
    Zhang, Da-jun
    SYMMETRY-BASEL, 2022, 14 (11):
  • [10] Integrable couplings, bi-integrable couplings and their Hamiltonian structures of the Giachetti-Johnson soliton hierarchy
    Tang, Ya-Ning
    Wang, Lei
    Ma, Wen-Xiu
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (11) : 2305 - 2315
12345