陳俊全臺灣大學:數學研究所楊劼之Takahashi, RyosukeRyosukeTakahashi2010-05-052018-06-282010-05-052018-06-282009U0001-2407200913223400http://ntur.lib.ntu.edu.tw//handle/246246/180652在這篇論文中，我們發現雙穩反應擴散方程式的一個變分結構。透過探討這個結構的特性，並且經由找到一個特定的臨界點，可以證明行波解的存在性。而雙穩系統行波速度的唯一性也將透過這篇論文得到證明。In this essay, we find a variational structure of the bistable equation. We will show the existence of traveling wave solution by finding a critical point. The uniqueness of the speed of the bistable system is also obtained in this essay.Abstract 3ntroduction 4reliminaries 5raveling waves for bistable reaction-diffusion equation 6onclusional remark and future work 18ppendix 18application/pdf375138 bytesapplication/pdfen-US變分行波反應擴散方程式雙穩平移variationaltraveling wavereaction-diffusionbistabletranslation反應擴散方程式行波解的變分結構A Variational Formula for Traveling Wave Solutions of Reaction-diffusion Equationsthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/180652/1/ntu-98-R97221037-1.pdf