| Logistic反应扩散方程的周期波解 |
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| 引用本文： | 窦丽萍,何延生.Logistic反应扩散方程的周期波解[J].延边大学理工学报,2014(4):283-289. |
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| 作者姓名： | 窦丽萍 何延生 |
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| 作者单位： | 延边大学理学院数学系,吉林延吉133002 |
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| 摘 要： | 利用三维周期波解的定义及相关引理,指出带有多项式的反应扩散方程解的存在性问题可转化为相应的偏差分方程解的存在性问题.针对带有Logistic反应控制项的反应扩散方程,利用基本的分析法获得了它的(2,2)-周期波解.
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| 关 键 词： | 扩散方程 波解 偏差分方程 周期解 |
Periodic wave solutions of Logistic reaction diffusion equation |
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| DOU Liping,HE Yansheng.Periodic wave solutions of Logistic reaction diffusion equation[J].Journal of Yanbian University (Natural Science),2014(4):283-289. |
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| Authors: | DOU Liping HE Yansheng |
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| Affiliation: | ( Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China ) |
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| Abstract: | Using the definition and associated lemma of the three periodic wave solutions,we show that the existence of the wave solutions of a reaction diffusion equation with poly-nomial can be transformed into the existence of the solutions of corresponding partial difference equation.Especially for the reaction diffusion equation with a Logistic control,we obtained its （2,2）-periodic solutions by using basic analysis method. |
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| Keywords: | diffusion equation wave solutions partial diffusion solutions periodic solution |
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