| Volume 15, Number 2, 2025, Pages - DOI：10.11948/JAAC-2024-0212 |
| Lie symmetry and exact solutions for the porous medium equation |
| Jing Zhang,Zenggui Wang |
| Keywords:Porous medium equation, Lie symmetry method, optimal system exact solutions. |
| Abstract: |
| 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. |
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