ON SYMMETRY GROUPS AND CONSERVATION LAWS FOR SPACE-TIME FRACTIONAL INHOMOGENEOUS NONLINEAR DIFFUSION EQUATION

被引：0
|
作者：
Feng, Wei [1 ]
机构：
[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Zhejiang, Peoples R China
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2019年 / 84卷 / 03期
基金：
中国国家自然科学基金;
关键词：
space-time fractional inhomogeneous nonlinear diffusion equation; symmetry groups; conservation laws; exact solutions; LIE-BACKLUND SYMMETRIES; PARTIAL-DIFFERENTIAL-EQUATIONS; POTENTIAL SYMMETRIES; INVARIANT SOLUTIONS; CLASSIFICATION; CONSTRUCTION; ORDER;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider a class of space-time fractional inhomogeneous nonlinear diffusion equations with Riemann-Liouville fractional derivative. Symmetry group method is applied to derive explicit solutions of the governing equation from the reduced fractional ordinary differential equations. Conservation laws admitted by the space-time fractional inhomogeneous nonlinear diffusion equations are obtained with the aid of the nonlinear self-adjointness method.
引用
收藏
页码：375 / 392
页数：18
相关论文
共 50 条
  • [1] Space-time fractional nonlinear partial differential equations: symmetry analysis and conservation laws
    Singla, Komal
    Gupta, R. K.
    NONLINEAR DYNAMICS, 2017, 89 (01) : 321 - 331
  • [2] Space-time fractional Klein-Gordon equation: Symmetry analysis, conservation laws and numerical approximations
    Mohammadizadeh, Fatemeh
    Rashidi, Saeede
    Hejazi, S. Reza
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 188 : 476 - 497
  • [3] Lie symmetry analysis, explicit solutions and conservation laws for the space-time fractional nonlinear evolution equations
    Inc, Mustafa
    Yusuf, Abdullahi
    Aliyu, Aliyu Isa
    Baleanu, Dumitru
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 496 : 371 - 383
  • [4] Time-fractional inhomogeneous nonlinear diffusion equation: Symmetries, conservation laws, invariant subspaces, and exact solutions
    Feng, Wei
    Zhao, Songlin
    MODERN PHYSICS LETTERS B, 2018, 32 (32):
  • [5] Symmetry Group Classification and Conservation Laws of the Nonlinear Fractional Diffusion Equation with the Riesz Potential
    Belevtsov, Nikita S.
    Lukashchuk, Stanislav Yu.
    SYMMETRY-BASEL, 2020, 12 (01):
  • [6] Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws
    Dumitru Baleanu
    Mustafa Inc
    Abdullahi Yusuf
    Aliyu Isa Aliyu
    Advances in Difference Equations, 2018
  • [7] Space-time fractional Rosenou-Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws
    Baleanu, Dumitru
    Inc, Mustafa
    Yusuf, Abdullahi
    Aliyu, Aliyu Isa
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [8] Study on Space-Time Fractional Nonlinear Biological Equation in Radial Symmetry
    Liu, Yanqin
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [9] Lie symmetry analysis and conservation laws for the time fractional generalized advection–diffusion equation
    Mohamed Rahioui
    El Hassan El Kinani
    Abdelaziz Ouhadan
    Computational and Applied Mathematics, 2023, 42
  • [10] Symmetry analysis and conservation laws for the class of time-fractional nonlinear dispersive equation
    Wang, Gangwei
    Kara, A. H.
    Fakhar, K.
    NONLINEAR DYNAMICS, 2015, 82 (1-2) : 281 - 287
12345