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Various soliton-obstruction systems have been studied from analyticalperspective. We have used collective coordinate to approach the dynamics ofsolitons as they meet a potential obstruction in a form of square barriers andholes for three models in (1+1) dimensions, namely: $\lambda\phi^{4}$ model,deformed Sine-Gordon model, and a model that give rise to Q-ball solution. Wehave shown that our approximated field solution is valid enough to describe thebehaviour of solitons scattering off a potential obstruction.

Collective Coordinate Approach to the Dynamics of Various Soliton-Obstruction Systems