By including a potential into the flat metric, we study the interaction of sine-Gordon soliton with different potentials. We will show numerically that while the soliton-barrier system shows fully classical behaviour, the ...

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...

An analytical model for the soliton-potential interaction is presented by constructing a collective coordinate

for the system. Most of the characters of the interaction are derived analytically while they are calculated by

other models...

Collective coordinate analysis for adding a space dependent potential to the double sine-Gordon model is

presented. Interaction of solitons with a delta function potential barrier and also delta function potential well is investigated. Most...

A collective coordinate variable for adding a space dependent potential to the sine-Gordon model is presented. Interaction of solitons with a delta function potential barrier and also a delta function potential well is investigated. A majority...

Two different sets of collective-coordinate equations for solitary solutions of nonlinear Klein–

Gordon (NKG) model are introduced. The collective coordinate equations are derived using different

approaches for adding...

A collective coordinate system in (2+1) dimensional space-time is proposed to study the soliton-like solutions of the CP1 model. Scattering of the solutions from potential obstructions is investigated using these collective coordinates. Most...

In this paper, we study the ϕ4 kink scattering from a spatially localized PT-symmetric defect and the effect of the kink's internal mode (IM) is discussed. It is demonstrated that if a kink hits the defect from the gain ...