[1]窦丽萍,何延生.Logistic反应扩散方程的周期波解[J].延边大学学报(自然科学版),2014,40(04):283-289.
　DOU Liping,HE Yansheng*.Periodic wave solutions of Logistic reaction diffusion equation[J].Journal of Yanbian University,2014,40(04):283-289.
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Logistic反应扩散方程的周期波解

《延边大学学报(自然科学版)》[ISSN:1004-4353/CN:22-1191/N] 卷: 第40卷 期数: 2014年04期 页码: 283-289 栏目: 基础科学研究 出版日期: 2014-12-20
Title:
Periodic wave solutions of Logistic reaction diffusion equation
作者:
窦丽萍; 何延生
延边大学理学院 数学系, 吉林 延吉 133002
Author(s):
DOU Liping;  HE Yansheng*
Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China
关键词:
扩散方程;  波解;  偏差分方程;  周期解
Keywords:
diffusion equation;  wave solutions;  partial diffusion solutions;  periodic solution
分类号:
O175
文献标志码:
A
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.
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.

参考文献/References:

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备注/Memo

收稿日期: 2014-08-10*通信作者: 何延生(1962—),男,副教授,研究方向为微差分方程理论及其应用.

更新日期/Last Update: 2014-12-20