EXISTENCE AND STABILITY OF ASYMPTOTICALLY OSCILLATORY TRIPLE PULSES

被引：16

作者：

ALEXANDER, JC ^{[1
]}

JONES, CKRT ^{[1
]}

机构：

[1] BROWN UNIV,DIV APPL MATH,PROVIDENCE,RI 02912

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1993年 / 44卷 / 02期

关键词：

D O I：

10.1007/BF00914281

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Triple pulses are constructed for systems of two coupled reaction-diffusion equations with an asymptotically oscillatory single pulse. In (Alexander and Jones [1993]) it has been shown that an infinite sequence of double pulses can be constructed near the single pulse. Under the condition that the wave speed of a stable double pulse coincides with that of the single pulse, it is shown here that an infinite sequence of triple pulses can be constructed. These pulses have the form of the double pulse concatenated with a further single pulse far behind, and cannot be constructed in the same way for the situations considered by previous authors. Moreover, the pulses are shown to be alternately stable and unstable.

引用

页码：189 / 200

页数：12