離散型反應擴散方程的全解

離散型反應擴散方程的全解

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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 solution...

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Bibliographic Details
Main Authors: 王宏嘉, Wang,Hong-Jia
Language:中文
Published: 國立政治大學
Subjects:
離散型反應擴散方程
全解
discrete reaction-diffusion equation
entire solution
Online Access:http://thesis.lib.nccu.edu.tw/cgi-bin/cdrfb3/gsweb.cgi?o=dstdcdr&i=sid=%22G0093751002%22.
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Summary: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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