Lie Symmetries, Conservation Laws and Exact Solutions for Two Rod Equations

被引：14
|
作者：
Liu, Hanze [1 ,2 ]
Li, Jibin [1 ,3 ]
机构：
[1] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Yunnan, Peoples R China
[2] Binzhou Univ, Dept Math, Binzhou 256603, Shandong, Peoples R China
[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2010年 / 110卷 / 02期
关键词：
Rod equation; Lie symmetry analysis; Conservation law; Similarity reduction; Exact solution;
D O I：
10.1007/s10440-009-9462-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Lie symmetry analysis are performed for the two rod equations. The infinite number of conservation laws (CLs) for the two equations are derived from the direct method. Furthermore, the all similarity reductions and exact explicit solutions are provided.
引用
收藏
页码：573 / 587
页数：15
相关论文
共 50 条
  • [1] Lie Symmetries, Conservation Laws and Exact Solutions for Two Rod Equations
    Hanze Liu
    Jibin Li
    [J]. Acta Applicandae Mathematicae, 2010, 110 : 573 - 587
  • [2] Lie Symmetries, Conservation Laws and Exact Solutions for Jaulent-Miodek Equations
    Pei, Jian-Ting
    Bai, Yu-Shan
    [J]. SYMMETRY-BASEL, 2019, 11 (10):
  • [3] Lie groups and differential equations: Symmetries, conservation laws, and exact solutions of mathematical models in physics
    Sheftel, MB
    [J]. PHYSICS OF PARTICLES AND NUCLEI, 1997, 28 (03) : 241 - 266
  • [4] Lie symmetries, conservation laws and analytical solutions for two-component integrable equations
    Feng, Lian-Li
    Tian, Shou-Fu
    Zhang, Tian-Tian
    Zhou, Jun
    [J]. CHINESE JOURNAL OF PHYSICS, 2017, 55 (03) : 996 - 1010
  • [5] Time fractional modified KdV-type equations: Lie symmetries, exact solutions and conservation laws
    He, Fangqin
    Li, Lianzhong
    [J]. OPEN PHYSICS, 2019, 17 (01): : 480 - 488
  • [6] Lie symmetries, conservation laws and exact solutions for time fractional Ito equation
    Akbulut, Arzu
    [J]. WAVES IN RANDOM AND COMPLEX MEDIA, 2021,
  • [7] Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations
    Xin, Xiangpeng
    Liu, Yutang
    Liu, Xiqiang
    [J]. APPLIED MATHEMATICS LETTERS, 2016, 55 : 63 - 71
  • [8] LIE SYMMETRIES, GROUP INVARIANT SOLUTIONS AND CONSERVATION LAWS OF IDEAL MHD EQUATIONS
    Xia, Shuangshuang
    Wang, Zenggui
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (05): : 1959 - 1986
  • [9] Lie point symmetries, conservation laws and exact solutions of electrical transmission line model
    Ali M.N.
    Husnine S.M.
    Ak T.
    [J]. SeMA Journal, 2019, 76 (3) : 403 - 412
  • [10] Lie symmetries, exact solutions and conservation laws of the Date–Jimbo–Kashiwara–Miwa equation
    Dig Vijay Tanwar
    Mukesh Kumar
    [J]. Nonlinear Dynamics, 2021, 106 : 3453 - 3468
12345