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
收藏
页码：934 / 950
页数：17
相关论文
共 50 条
  • [1] Lie Symmetry Reductions and Exact Solutions to the Rosenau Equation
    Gao, Ben
    Tian, Hongxia
    ADVANCES IN MATHEMATICAL PHYSICS, 2014, 2014
  • [2] Lie symmetry analysis and exact solutions for the short pulse equation
    Liu, Hanze
    Li, Jibin
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 2126 - 2133
  • [3] Lie Symmetry Analysis and Exact Solutions for the Extended mKdV Equation
    Hanze Liu
    Jibin Li
    Acta Applicandae Mathematicae, 2010, 109 : 1107 - 1119
  • [4] Lie Symmetry Analysis and Exact Solutions for the Extended mKdV Equation
    Liu, Hanze
    Li, Jibin
    ACTA APPLICANDAE MATHEMATICAE, 2010, 109 (03) : 1107 - 1119
  • [5] A Note on the Lie Symmetry Analysis and Exact Solutions for the Extended mKdV Equation
    Kudryashov, Nikolay A.
    Sinelshchikov, Dmitry I.
    ACTA APPLICANDAE MATHEMATICAE, 2011, 113 (01) : 41 - 44
  • [6] A Study on the Exact Solutions of the Ramani Equation Using Lie Symmetry Analysis
    Agnus S.
    Seshadri R.
    Halder A.K.
    Leach P.G.L.
    International Journal of Applied and Computational Mathematics, 2024, 10 (4)
  • [7] Lie symmetry analysis and exact explicit solutions for general Burgers' equation
    Liu, Hanze
    Li, Jibin
    Zhang, Quanxin
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 228 (01) : 1 - 9
  • [8] Lie symmetry reductions, exact solutions and soliton dynamics to Burgers equation
    Tanwar, Dig Vijay
    NONLINEAR DYNAMICS, 2024, 112 (24) : 22267 - 22281
  • [9] Lie symmetry reductions and exact solutions of Kadomtsev-Petviashvili equation
    Anukriti, Dig Vijay
    Tanwar, Dig Vijay
    PRAMANA-JOURNAL OF PHYSICS, 2025, 99 (01):
  • [10] Lie Symmetry Analysis and Exact Solutions to the Quintic Nonlinear Beam Equation
    Sripana, N.
    Chatanin, W.
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2016, 10 (01): : 61 - 68
12345