| Solitary Wave Solutions and Kink Wave Solutions for a Generalized PC Equation |
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| 作者姓名： | Wen-lingZhang |
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| 作者单位： | Wen-ling Zhang Department of Mathematics and physics，National Natural Science Foundation of China，Beijing 100085，China |
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| 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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| 关 键 词： | 孤波解 纽结波解 广义PC函数 偏微分方程 同宿轨 |
| 收稿时间： | 12 March 2004 |
Solitary Wave Solutions and Kink Wave Solutions for a Generalized PC Equation |
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| Wen-lingZhang.Solitary Wave Solutions and Kink Wave Solutions for a Generalized PC Equation[J].Acta Mathematicae Applicatae Sinica,2005,21(1):125-134. |
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| Authors: | Wen-ling Zhang |
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| Institution: | (1) Department of Mathematics and physics, National Natural Science Foundation of China, Beijing 100085, China |
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| Abstract: | 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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| Keywords: | GPC equation solitary waves kink waves |
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