论文标题
通过非古典对称分析获得的Fisher-KPP样方程的确切时间依赖性溶液
Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis
论文作者
论文摘要
我们考虑使用非经典对称分析构建的非线性反应扩散模型的精确解决方案家族。在特定的极限中，数学模型接近了众所周知的Fisher-KPP模型，这意味着它与包括癌症进展，伤口愈合和生态入侵的各种应用有关。精确的解决方案在数学上很有趣，因为Fisher-KPP模型的精确解决方案很少见，并且通常仅限于长期行驶波解决方案，以实现波动速度的特殊值。
We consider a family of exact solutions to a nonlinear reaction-diffusion model, constructed using nonclassical symmetry analysis. In a particular limit, the mathematical model approaches the well-known Fisher-KPP model, which means that it is related to various applications including cancer progression, wound healing and ecological invasion. The exact solution is mathematically interesting since exact solutions of the Fisher-KPP model are rare, and often restricted to long-time travelling wave solutions for special values of the travelling wave speed.
