Study of Compactons and Solitons Using Finite Element Method

In this research, we study some properties of compactons using Finite Element Method (FEM). This method is complicated for programming and very time consuming; but it is an accurate method. Using this method, we studied soliton properties and obtained results were acceptable. Then we studied compactons; Compactons are solitons with finite width or on the other hand solitons with no tail. This defined property for compactons was not observed in our simulation. It seems that breaking of compacton occurred regarding the entity of compacton equations, not by numerical error. In compactons- anti compactons collision, particle-like manner was not observed at all during this research. Perhaps it is due to suddenly vanishing of compactons on both ends.