论文标题
退化非线性抛物线方程的行驶波解决方案的精制渐近行为
A refined asymptotic behavior of traveling wave solutions for degenerate nonlinear parabolic equations
论文作者
论文摘要
在本文中，我们考虑了退化非线性抛物线方程的行驶波解决方案的渐近行为：$ u_ {t} = u^{p}（u_ {xx}+u）-ΔU$（$δ= 0 $或$ 1 $），$ $ Cy equiv x- ct -equ x -equ x-ct \ to -equ x-ct \ to -equ to to -equ to -equt to $ c> 0 $ c> 0 $ c> 0。我们提供了一个精致的一项，这是通过适当的渐近研究和兰伯特$ w $函数的适当的渐近研究和属性来获得的[Ichida-Sakamoto，2020]。
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.
