Bi-Hamiltonian structures of the coupled AKNS hierarchy and the coupled Yajima-Oikawa hierarchy

被引:0
|
作者
Liu, Q. P.
机构
来源
关键词
D O I
暂无
中图分类号
学科分类号
摘要
引用
收藏
相关论文
共 50 条
  • [41] A generalized Dirac soliton hierarchy and its bi-Hamiltonian structure
    Ye, Yujian
    Li, Zhihui
    Li, Chunxia
    Shen, Shoufeng
    Ma, Wen-Xiu
    APPLIED MATHEMATICS LETTERS, 2016, 60 : 67 - 72
  • [42] A generalized super AKNS hierarchy associated with Lie -superalgebra sl(2|1) and its super bi-Hamiltonian structure
    Han, Jingwei
    Yu, Jing
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 44 : 258 - 265
  • [43] Bi-integrable couplings of a Kaup-Newell type soliton hierarchy and their bi-Hamiltonian structures
    Yu, Shuimeng
    Yao, Yuqin
    Shen, Shoufeng
    Ma, Wen-Xiu
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 23 (1-3) : 366 - 377
  • [44] THE INTEGRABLE COUPLINGS OF THE GENERALIZED COUPLED mKdV HIERARCHY AND ITS HAMILTONIAN STRUCTURES
    Hanyu Wei
    Tiecheng Xia
    Hui Wang
    Annals of Applied Mathematics, 2013, (02) : 222 - 229
  • [45] The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures
    You, Fucai
    Xia, Tiecheng
    CHAOS SOLITONS & FRACTALS, 2008, 36 (04) : 953 - 960
  • [46] On gauge equivalent integrable systems and r-matrices for AKNS hierarchy and a coupled MKdV hierarchy
    Liu, XL
    Chen, QH
    Zhang, BC
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2003, 24 (07) : 863 - 870
  • [47] On gauge equivalent integrable systems andr-matrices for AKNS hierarchy and a coupled MKdV hierarchy
    Liu Xiang-lin
    Chen Qing-hui
    Zhang Bao-cai
    Applied Mathematics and Mechanics, 2003, 24 (7) : 863 - 870
  • [48] A NEW HIERARCHY OF COUPLED DEGENERATE HAMILTONIAN EQUATIONS
    TU, GZ
    PHYSICS LETTERS A, 1983, 94 (08) : 340 - 342
  • [49] An integrable generalization of the D-Kaup-Newell soliton hierarchy and its bi-Hamiltonian reduced hierarchy
    McAnally, Morgan
    Ma, Wen-Xiu
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 323 : 220 - 227
  • [50] AKS hierarchy and bi-Hamiltonian geometry of Gelfand-Zakharevich type
    Guha, P
    JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (07) : 2864 - 2884