Abstract:We consider the Fisher-KPP reaction-diffusion equation in the whole space. We prove that if a solution has, to main order and for all times (positive and negative), the same exponential decay as a planar traveling wave with speed larger than the minimal one at its leading edge, then it has to coincide with the aforementioned traveling wave.

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中文翻译：

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Fisher-KPP 方程完整解的一维对称结果

摘要：我们在整个空间考虑Fisher-KPP反应扩散方程。我们证明，如果一个解对于主阶和所有时间（正和负）都具有与平面行波相同的指数衰减，其速度大于其前沿的最小行波，那么它必须与上述一致行波。

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