Infinite Conservation Laws for Nonlinear Integrable Couplings of Toda Hierarchy

被引：0
|
作者：
Yu Fa-Jun [1 ]
机构：
[1] Shenyang Normal Univ, Sch Math & Systemat Sci, Shenyang 110034, Peoples R China
来源：
CHINESE PHYSICS LETTERS | 2012年 / 29卷 / 09期
基金：
中国博士后科学基金;
关键词：
LIE-ALGEBRAS; SOLITON-EQUATIONS; SEMIDIRECT SUMS; TRANSFORMATION; SYSTEMS;
D O I：
10.1088/0256-307X/29/9/090201
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct nonlinear integrable couplings of discrete soliton hierarchy, then the infinite conservation laws for the nonlinear integrable couplings of the lattice hierarchy are established. For explicit application of the method proposed, the infinite conservation laws of nonlinear integrable couplings of the Toda lattice hierarchy are presented. The obtained integrable couplings of the Toda lattice equations and conservation laws can be used to describe the possible formation mechanisms for hydrodynamics, solid state physics and plasma physics, respectively.
引用
收藏
页数：4
相关论文
共 50 条
  • [41] AN INFINITE HIERARCHY OF CONSERVATION-LAWS AND NONLINEAR SUPERPOSITION PRINCIPLES FOR SELF-DUAL EINSTEIN-SPACES
    BOYER, CP
    PLEBANSKI, JF
    JOURNAL OF MATHEMATICAL PHYSICS, 1985, 26 (02) : 229 - 234
  • [42] Some exact solutions and infinite conservation laws of an extended KdV integrable system
    Lu, Huanhuan
    Zhang, Yufeng
    Mei, Jianqin
    MODERN PHYSICS LETTERS B, 2020, 34 (26):
  • [43] Two Integrable Couplings of Modified Tu Hierarchy
    岳超
    刘照军
    于加东
    Communications in Theoretical Physics, 2010, 54 (08) : 203 - 207
  • [44] A GENERALIZED LEVI HIERARCHY AND ITS INTEGRABLE COUPLINGS
    Zhang, Jiao
    Wei, Xiaoli
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2010, 24 (17): : 3453 - 3460
  • [45] Two Integrable Couplings of Modified Tu Hierarchy
    Yue Chao
    Liu Zhao-Jun
    Yu Jia-Dong
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2010, 54 (02) : 203 - 207
  • [46] A direct method for integrable couplings of TD hierarchy
    Zhang, YF
    Zhang, HQ
    JOURNAL OF MATHEMATICAL PHYSICS, 2002, 43 (01) : 466 - 472
  • [47] A New Nonlinear Integrable Couplings of Solioton Hierarchy and its Hamiltonian Structure with Kronecker Product
    Li, Li
    Yu, Fajun
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2013, 14 (7-8) : 513 - 519
  • [48] Nonlinear Super Integrable Couplings of Super Dirac Hierarchy and Its Super Hamiltonian Structures
    You Fu-Cai
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 57 (06) : 961 - 966
  • [49] Nonlinear Super Integrable Couplings of Super Dirac Hierarchy and Its Super Hamiltonian Structures
    尤福财
    CommunicationsinTheoreticalPhysics, 2012, 57 (06) : 961 - 966
  • [50] Integrable viscous conservation laws
    Arsie, Alessandro
    Lorenzoni, Paolo
    Moro, Antonio
    NONLINEARITY, 2015, 28 (06) : 1859 - 1895
12345