A tri-Hamiltonian formulation of a new soliton hierarchy associated with so(3, R)

被引:3
|
作者
Manukure, Solomon [1 ]
Ma, Wen-Xiu [1 ]
Appiah, Emmanuel [1 ]
机构
[1] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
关键词
Hereditary recursion operator; Hamiltonian operators; Tri-Hamiltonian structure;
D O I
10.1016/j.aml.2014.08.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A third Hamiltonian operator is presented for a new hierarchy of bi-Hamiltonian soliton equations, thereby showing that this hierarchy is tri-Hamiltonian. Additionally, an inverse hierarchy of common commuting symmetries is also presented. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:28 / 30
页数:3
相关论文
共 50 条
  • [31] A new generalized fractional Dirac soliton hierarchy and its fractional Hamiltonian structure
    Wei Han-Yu
    Xia Tie-Cheng
    CHINESE PHYSICS B, 2012, 21 (11)
  • [32] A spectral problem based on so(3, R) and its associated commuting soliton equations
    Ma, Wen-Xiu
    JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (10)
  • [33] A NEW SOLITON HIERARCHY AND ITS TWO KINDS OF EXPANDING INTEGRABLE MODEL HAMILTONIAN STRUCTURE
    Zhang, Yufeng
    Dong, Huanhe
    Hon, Y. C.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2009, 23 (14): : 3059 - 3072
  • [34] A New Integrable Hamiltonian Hierarchy and Associated Integrable Coupling System
    Chen, Xiaohong
    Sun, Yan
    Zhang, Daqing
    Zhu, Liancheng
    2015 SIXTH INTERNATIONAL CONFERENCE ON INTELLIGENT CONTROL AND INFORMATION PROCESSING (ICICIP), 2015, : 491 - 494
  • [35] An so (3, ℝ) Counterpart of the Dirac Soliton Hierarchy and its Bi-Integrable Couplings
    Wen-Ying Zhang
    Wen-Xiu Ma
    International Journal of Theoretical Physics, 2014, 53 : 4211 - 4222
  • [36] SO(3) gauged soliton of an O(4) sigma model on R(3)
    Arthur, K
    Tchrakian, DH
    PHYSICS LETTERS B, 1996, 378 (1-4) : 187 - 193
  • [37] A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions
    Fan, Fang-Cheng
    Wen, Xiao-Yong
    WAVE MOTION, 2021, 103
  • [38] Two integrable Hamiltonian hierarchies in sl(2, R) and so(3, R) with three potentials
    Gu, Xiang
    Ma, Wen-Xiu
    Zhang, Wen-Ying
    JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (05)
  • [39] A Hierarchy of Lattice Soliton Equations Associated with a New Discrete Eigenvalue Problem and Darboux Transformations
    Zhang, Ning
    Xia, Tiecheng
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2015, 16 (7-8) : 301 - 306
  • [40] Bi-Hamiltonian formulation of the O(3) chiral fields equations hierarchy via a polynomial bundle
    Yanovski, AB
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (43): : 8709 - 8726