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 corres...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.展开更多
文摘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.
