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

作　　者：Wen-lingZhang 

机构地区：[1]DepartmentofMathematicsandphysics,NationalNaturalScienceFoundationofChina,Beijing100085.China

出　　处：《Acta Mathematicae Applicatae Sinica》2005年第1期125-134,共10页应用数学学报（英文版）

摘　　要：We present in this paper a generalised PC (GPC) equation which includesseveral known models. The corresponding traveling wave system is derived and we show that thehomoclinic orbits of the traveling wave system correspond to the solitary waves of GPC equation, andthe heteroclnic orbits correspond to the kink waves. Under some parameter conditions, the existenceof above two types of orbits is demonstrated and the explicit expressions of the two solutions areworked out.We present in this paper a generalised PC (GPC) equation which includesseveral known models. The corresponding traveling wave system is derived and we show that thehomoclinic orbits of the traveling wave system correspond to the solitary waves of GPC equation, andthe heteroclnic orbits correspond to the kink waves. Under some parameter conditions, the existenceof above two types of orbits is demonstrated and the explicit expressions of the two solutions areworked out.

关 键 词：GPC equation solitary waves kink waves 

分 类 号：O175.2[理学—数学]