Nonlocal symmetry analysis and conservation laws to an third-order Burgers equation

被引：0
|
作者：
Gangwei Wang
A. H. Kara
K. Fakhar
机构：
[1] Beijing Institute of Technology,School of Mathematics and Statistics
[2] University of the Witwatersrand,School of Mathematics
[3] University of British Columbia,Department of Mathematics
[4] Kwantlen Polytechnic University,Department of Mathematics, Faculty of Science and Horticulture
来源：
Nonlinear Dynamics | 2016年 / 83卷
关键词：
Third-order Burger equation; Nonlocal symmetry analysis; Linearization; The multiplier approach; Conservation laws; 22E70; 70S10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The nonlocal residual symmetry related to truncated Painlevé expansion of third-order Burgers equation is performed. Then, the potential symmetries of the equation are derived; on the basis of nonlocal symmetries, we linearize the nonlinear third-order Burgers equation to a linear third-order PDE. Furthermore, the exact solutions of the potential equation are presented in terms of the symmetries. In particular, conservation laws are constructed of the equations.
引用
收藏
页码：2281 / 2292
页数：11
相关论文
共 50 条
  • [1] Nonlocal symmetry analysis and conservation laws to an third-order Burgers equation
    Wang, Gangwei
    Kara, A. H.
    Fakhar, K.
    NONLINEAR DYNAMICS, 2016, 83 (04) : 2281 - 2292
  • [2] Nonlocal symmetry analysis, explicit solutions and conservation laws for the fourth-order Burgers' equation
    Wang, Gangwei
    kara, A. H.
    CHAOS SOLITONS & FRACTALS, 2015, 81 : 290 - 298
  • [3] Time Fractional Third-Order Evolution Equation: Symmetry Analysis, Explicit Solutions, and Conservation Laws
    Baleanu, Dumitru
    Inc, Mustafa
    Yusuf, Abdullahi
    Aliyu, Aliyu Isa
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2018, 13 (02):
  • [4] Symmetry analysis and conservation laws of some third-order difference equations
    Folly-Gbetoula, M. K.
    Mamba, S.
    Kara, A. H.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2018, 24 (01) : 1 - 14
  • [5] On symmetry-preserving difference scheme to a generalized Benjamin equation and third-order Burgers equation
    Ma, Pan-Li
    Tian, Shou-Fu
    Zhang, Tian-Tian
    APPLIED MATHEMATICS LETTERS, 2015, 50 : 146 - 152
  • [6] LIE SYMMETRY ANALYSIS, CONSERVATION LAWS AND EXACT SOLUTIONS OF FOURTH-ORDER TIME FRACTIONAL BURGERS EQUATION
    Qin, Chunyan
    Tian, Shoufu
    Zou, Li
    Zhang, Tiantian
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (06): : 1727 - 1746
  • [7] Residual symmetry, interaction solutions and consistent tanh expansion solvability for the third-order Burgers equation
    Hu, Hengchun
    Li, Yueyue
    Zhu, Haidong
    CHAOS SOLITONS & FRACTALS, 2018, 108 : 77 - 81
  • [8] Third-order scalar evolution equations with conservation laws
    Foltinek K.
    Selecta Mathematica, 2002, 8 (2) : 201 - 235
  • [9] On the conservation laws, Lie symmetry analysis and power series solutions of a class of third-order polynomial evolution equations
    Gwaxa, B.
    Jamal, Sameerah
    Johnpillai, A. G.
    ARABIAN JOURNAL OF MATHEMATICS, 2023, 12 (03) : 553 - 564
  • [10] On the conservation laws, Lie symmetry analysis and power series solutions of a class of third-order polynomial evolution equations
    B. Gwaxa
    Sameerah Jamal
    A. G. Johnpillai
    Arabian Journal of Mathematics, 2023, 12 : 553 - 564
12345