芮伟国, 洪晓春, 刘海英. 一类反应扩散方程的驻定解与显式行波解[J]. 云南大学学报(自然科学版), 2002, 24(5): 321-324.
引用本文: 芮伟国, 洪晓春, 刘海英. 一类反应扩散方程的驻定解与显式行波解[J]. 云南大学学报(自然科学版), 2002, 24(5): 321-324.
shu
RUI Wei-guo, HONG Xiao-chun, LIU Hai-ying. Stationary solutions and explieit traveling solutions for a class of reaction diffusion equation[J]. Journal of Yunnan University: Natural Sciences Edition, 2002, 24(5): 321-324.
Citation: RUI Wei-guo, HONG Xiao-chun, LIU Hai-ying. Stationary solutions and explieit traveling solutions for a class of reaction diffusion equation[J]. Journal of Yunnan University: Natural Sciences Edition, 2002, 24(5): 321-324.
shu

一类反应扩散方程的驻定解与显式行波解

Stationary solutions and explieit traveling solutions for a class of reaction diffusion equation

    摘要
  • 摘要: 对广义的Fisher方程作了进一步的研究,当α为偶数时,具体地化分了参数q的区间,在各参数区间对其保守系统作了详细的讨论,给出了8种相图,并求出了2种驻定解的解析式;最后求出了边值条件更加广泛的显式行波解.

     

    Abstract: The generalized Fisher equation is investigated.When parameter α is even,the range of parameter q is partitioned.Under various parameter conditions the conservative system is discussed.Eight phase portraits are drawn.Two formula stationary solutions are given.Finally an explicit traveling wave solution satisfied boundary condition is obtained.

     

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