用胞映射方法讨论一类MKdV方程

山东大学学报(工学版)

用胞映射方法讨论一类MKdV方程

来翔

山东大学数学与系统科学学院，山东济南 250100

收稿日期:2004-06-09 修回日期:1900-01-01 出版日期:2006-02-24 发布日期:2006-02-24
通讯作者: 来翔

The global domain of attraction for a kind of MKdV equations

LAI Xiang

School of Mathematics & Systematic Sciences,Shandong University,Jinan 250100,China

Received:2004-06-09 Revised:1900-01-01 Online:2006-02-24 Published:2006-02-24
Contact: LAI Xiang

摘要/Abstract

摘要： 利用简单胞映射方法对一类MKdV(Modified Kortewegde Vries)方程未受扰系统，周期激励系统进行了讨论.首先利用行波法将MKdV方程化为常微分方程组并用四阶Rungekutta方法画出其相图，然后用简单胞映射方法得到了MKdV方程的全局吸引域和有限步吸引域.该结果与相应的相图很好的吻合起来.

关键词: MKdV方程, 胞映射, 吸引域

Abstract: The unperturbed system and perturbed system of a kind of Modified Kortewegde Vries (MKdV) equations are considered. Travelling wave method is applied to transform MKdV equations into ordinary differential equations and the forth order Rungekutta method is used to draw their phase portraits. Simple cell mapping(SCM) method is employed to obtain the global and the finite step domain of attraction of MKdV equations. The results are in agreement with their phase portraits.

Key words: cell mapping, domain of attraction , MKdV equation

中图分类号:

O175.29

来翔 . 用胞映射方法讨论一类MKdV方程[J]. 山东大学学报(工学版), 2006, 36(1): 87-92 .

LAI Xiang . The global domain of attraction for a kind of MKdV equations[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(1): 87-92 .

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