| Abstract: | Interaction of double sine-Gordon solitons with a space dependent potential wall as well as a potential well is investigated by employing an analytical model based on the collective coordinate approach.The potential is added to the model through a suitable nontrivial metric for the background spacetime.The model is able to predict most of the features of the soliton-potential interaction.It is shown that a soliton can pass through a potential barrier if its velocity is larger than a critical velocity which is a function of the initial soliton conditions and also characters of the potential.It is interesting that the solitons of the double sine-Gordon model can be trapped by a potential barrier and oscillate there.This situation is very important in applied physics.The soliton-well system is investigated by using the presented model.Analytical results are also compared with the results of the direct numerical solutions. |
