| 一类反应扩散方程的驻定解与显式行波解 |
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| 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 |
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| 作者姓名： | 芮伟国 洪晓春 刘海英 |
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| 作者单位： | 云南大学数学系,云南,昆明,650091 |
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| 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.
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| 关 键 词： | 驻定解 广义Fisher方程 显式行波解 |
| 文章编号： | 0258-7971(2002)05-0321-04 |
| 修稿时间： | 2002-04-08 |
Stationary solutions and explieit traveling solutions for a class of reaction diffusion equation |
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| 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), 2002, 24(5): 321-324 |
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| Authors: | RUI Wei guo HONG Xiao chun LIU Hai ying |
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| Affiliation: | Department of Mathematics, Yunnan Univesity, Kunming 650091, China |
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| 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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| Keywords: | stationary solutions generalized Fisher equation explicit traveling waves solutions |
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