一个非线性反应扩散方程的显式精确解
Explicit Exact Solutions for a Nonlinear Reaction-Diffusion Equation
摘要: 本文首先通过找到合适的非线性变换将一个非线性反应扩散方程化简为标准的热传导方程，然后利用变量分离法求解这个标准的热传导方程，最后通过这个非线性变换的逆变换得到非线性反应扩散方程丰富的显式精确解。
Abstract: In this paper, a nonlinear reaction-diffusion equation is reduced to the standard heat equation by seeking appropriate nonlinear transformation and solves reduced equations with a variable separation approach, finally, through the inverse transformation of the nonlinear transformation, some new explicit exact solutions can be obtained.
文章引用：吕良博. 一个非线性反应扩散方程的显式精确解[J]. 应用数学进展, 2020, 9(1): 100-104. https://doi.org/10.12677/AAM.2020.91012

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