Solitary Wave Solutions and Kink Wave Solutions for a Generalized PC Equation

被引：0
|
作者：
Wen-ling Zhang Department of Mathematics and physics
机构：
来源：
Acta Mathematicae Applicatae Sinica(English Series) | 2005年 / 01期
关键词：
GPC equation; solitary waves; kink waves;
D O I：
暂无
中图分类号：
O411.1 [数学物理方法];
学科分类号：
0701 ; 070104 ;
摘要：
We present in this paper a generalised PC (GPC) equation which includes several known models. The corresponding traveling wave system is derived and we show that the homoclinic orbits of the traveling wave system correspond to the solitary waves of GPC equation, and the heteroclnic orbits correspond to the kink waves. Under some parameter conditions, the existence of above two types of orbits is demonstrated and the explicit expressions of the two solutions are worked out.
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页码：125 / 134
页数：10
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