Lie symmetry analysis, conservation laws and separation variable type solutions of the time-fractional porous medium equation

被引：18
|
作者：
Yang, Ying [1 ]
Wang, Lizhen [1 ]
机构：
[1] Northwest Univ, Sch Math, Ctr Nonlinear Studies, Xian, Peoples R China
来源：
WAVES IN RANDOM AND COMPLEX MEDIA | 2022年 / 32卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Fractional porous medium equation; symmetry analysis; group-invariant solution; conservation law; homogenous balanced principle; PARTIAL-DIFFERENTIAL-EQUATIONS; SOLITONS; CONSTRUCTION;
D O I：
10.1080/17455030.2020.1810358
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, Lie group analysis is developed to investigate the time-fractional Porous Medium equation. The symmetry group and the corresponding optimal system are obtained. Then, the similarity reductions are performed to construct some explicit group-invariant solutions. In addition, the conservation laws are derived by applying the new conservation theorem. Furthermore, some separation variable type solutions are obtained with the help of the homogenous balanced principle.
引用
收藏
页码：980 / 999
页数：20
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