Finding conserved quantities of three-dimensional second-order nonlinear coupled dynamics systems by the extended Prelle-Singer method

被引：2
|
作者：
Lou Zhi-Mei [1 ]
机构：
[1] Shaoxing Univ, Dept Phys, Shaoxing 312000, Peoples R China
来源：
ACTA PHYSICA SINICA | 2010年 / 59卷 / 06期
关键词：
extended Prelle-Singer method; three-dimensional nonlinear coupled dynamics systems; conserved quantity; MEI SYMMETRY; LIE SYMMETRY; CONSTRUCTION; INVARIANTS; INTEGRALS; EQUATIONS; PARTICLE;
D O I：
10.7498/aps.59.3633
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the extended Prelle-Singer ( P-S) method is employed to finding the conserved quantities of three-dimensional second-order nonlinear coupled dynamic systems, the determining equations, the constraint equations of Integral factors and the general expression of conserved quantities are obtained. The calculation method of integral factors is disscussed. Finally, two conserved quantities of three-particles Tada crystal lattice problem are found by extended P-S method.
引用
收藏
页码：3633 / 3638
页数：6
相关论文
共 28 条
  • [1] Annamalai A, 1994, NONLINEAR MATH PHYS, V1, P309
  • [2] A simple and unified approach to identify integrable nonlinear oscillators and systems
    Chandrasekar, VK
    Pandey, SN
    Senthilvelan, M
    Lakshmanan, M
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (02)
  • [3] A unification in the theory of linearization of second-order nonlinear ordinary differential equations
    Chandrasekar, VK
    Senthilvelan, M
    Lakshmanan, M
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (03): : L69 - L76
  • [4] Extended Prelle-Singer method and integrability/solvability of a class of nonlinear nth order ordinary differential equations
    Chandrasekar V.K.
    Senthilvelan M.
    Lakshmanan M.
    [J]. Journal of Nonlinear Mathematical Physics, 2005, 12 (Suppl 1) : 184 - 201
  • [5] Solving second-order ordinary differential equations by extending the Prelle-Singer method
    Duarte, LGS
    Duarte, SES
    da Mota, LACP
    Skea, JEF
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (14): : 3015 - 3024
  • [6] New conserved quantities of Noether-Mei symmetry of mechanical system in phase space
    Fang Jian-Hui
    Liu Yang-Kui
    Zhang Xiao-Ni
    [J]. CHINESE PHYSICS B, 2008, 17 (06) : 1962 - 1966
  • [7] Fang JH, 2007, CHINESE PHYS, V16, P887, DOI 10.1088/1009-1963/16/4/002
  • [8] Fu JL, 2006, CHINESE PHYS, V15, P8, DOI 10.1088/1009-1963/15/1/002
  • [9] Ge W K, 2001, ACTA ARMAMENTARII, P22
  • [10] Mei symmetry and conserved quantity of a holonomic system
    Ge Wei-Kuan
    [J]. ACTA PHYSICA SINICA, 2008, 57 (11) : 6714 - 6717
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