LIE SYMMETRY AND EXACT SOLUTIONS FOR THE POROUS MEDIUM EQUATION

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.

Authors

Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2025-01-01
DOI
https://doi.org/10.11948/20240212
Citations
1
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
1.32
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article

LIE SYMMETRY AND EXACT SOLUTIONS FOR THE POROUS MEDIUM EQUATION

Yan Jin, Zenggui Wang
1 citations
Journal of Applied Analysis & Computation
Nonlinear Waves and Solitons
1.32
article

LIE SYMMETRY AND EXACT SOLUTIONS FOR THE POROUS MEDIUM EQUATION

Yan Jin, Zenggui Wang
article en
1 citations

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.

Journal of Applied Analysis & ComputationVol. 15(2)
Openalex Percentile: Top 19%
Nonlinear Waves and Solitons
1.32
DOIOpen Access PDFOpenAlex
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LIE SYMMETRY AND EXACT SOLUTIONS FOR THE POROUS MEDIUM EQUATION — Yan Jin, Zenggui Wang · Journal of Applied Analysis & Computation (2025) | TGRS Research Map | TGRS