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離散型反應擴散方程的全解 / Entire Solutions for Discrete Reaction-Diffusion Equations王宏嘉, Wang,Hong-Jia Unknown Date (has links)
這篇文章中,我們探討離散型反應擴散方程u_t(x,t)=u(x+1,t)-2u(x,t)+u(x-1,t)+f(u(x,t)),其中
反應項f(u)=u^2(1-u)。在此,
我們證明此方程式存在一種全解其動態行為宛如兩個來自x軸兩端相向而行的行波。 / This paper deals with a discrete reaction-diffusion equation
u_t(x,t)=u(x+1,t)-2u(x,t)+u(x-1,t)+f(u(x,t)),
where f(u)=u^2(1-u). Here, we prove there exist entire solutions which behave as two
traveling waves coming from both sides of x-axis.
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