Symmetry Analysis and Conservation Laws for a Time-Fractional Generalized Porous Media Equation

被引：1

作者：

Gong, Tianhang ^{[1
]}

Feng, Wei ^{[1
]}

Zhao, Songlin ^{[1
]}

机构：

[1] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Peoples R China

来源：

MATHEMATICS | 2022年 / 10卷 / 05期

基金：

中国国家自然科学基金;

关键词：

time-fractional generalized porous media equation; symmetry group; conservation law; exact solutions; NOETHERS THEOREM; SPACE; ORDER;

D O I：

10.3390/math10050687

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The symmetry group method is applied to study a class of time-fractional generalized porous media equations with Riemann-Liouville fractional derivatives. All point symmetry groups and the corresponding optimal subgroups are determined. Then, the similarity reduction is performed to the given equation and some explicit solutions are derived. The asymptotic behaviours for the solutions are also discussed. Through the concept of nonlinear self-adjointness, the conservation laws arising from the admitted point symmetries are listed.

引用

页数：21

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