退化非线性抛物型方程行波解的精细渐近性态
A refined asymptotic behavior of traveling wave solutions for degenerate nonlinear parabolic equations
摘要：
本文考虑退化非线性抛物型方程$u_{t}=u^{p}(u_{xx}+u)-δu$（$δ= 0$或$1$）的行波解的渐近性态，其中$ξ\equiv x - ct \to - \infty$具有$c>0$ .我们通过适当的渐近研究和Lambert $W$函数的性质，给出了其中一个改进的，这是在以前的工作中没有得到的[Ichida-Sakamoto，2020]。
英文摘要：
In this paper, we consider the asymptotic behavior of traveling wave solutions of the degenerate nonlinear parabolic equation: $u_{t}=u^{p}(u_{xx}+u)-δu$ ($δ= 0$ or $1$) for $ξ\equiv x - ct \to - \infty$ with $c>0$. We give a refined one of them, which was not obtain in the preceding work [Ichida-Sakamoto, 2020], by an appropriate asymptotic study and properties of the Lambert $W$ function.
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