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.
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页码：375 / 392
页数：18
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