LIE SYMMETRY AND EXACT SOLUTIONS FOR THE POROUS MEDIUM EQUATION

被引：0

作者：

Zhang, Jing ^{[1
]}

Wang, Zenggui ^{[1
]}

机构：

[1] Liaocheng Univ, Sch Math Sci, Hunan Rd, Liaocheng 252059, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2025年 / 15卷 / 02期

关键词：

Porous medium equation; Lie symmetry method; optimal system; BIOLOGICAL-CONTROL;

D O I：

10.11948/20240212

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper aims to study a (2+1)-dimensional Biological population model with the porous medium by Lie symmetry method. By using commutation tables, the one-dimensional optimal subalgebras for the porous medium equation is given. Group invariant solutions of this model are constructed by the reduction equations. Further, the dynamic behavior of the model graphically is presented.

引用

页码：934 / 950

页数：17

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