In this paper, we investigate the global existence and uniqueness of a periodic wave solution of the generalized Burgers–Fisher equation. We prove that the generalized Burgers–Fisher equation admits an isolated periodic wave solution based on the monotonicity of the ratio of two Abelian integrals.

中文翻译：

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广义Burgers–Fisher方程的周期波解的整体存在性和唯一性

在本文中，我们研究了广义Burgers–Fisher方程的周期波解的整体存在性和唯一性。我们证明了广义的Burgers-Fisher方程基于两个阿贝尔积分之比的单调性接受了一个孤立的周期波解。