In this paper, a class of nonlinear reaction–diffusion equations is studied, and Abelian integral method is applied to show the existence of a unique periodic traveling wave solution. Simulation is presented to verify the theoretical prediction.

中文翻译：

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反应扩散模型行波动力学分析

在本文中，研究了一类非线性反应扩散方程，并采用阿贝尔积分方法来证明存在唯一的周期行波解。进行仿真以验证理论预测。