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

页码：375 / 392

页数：18

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