Soliton-potential interaction in the nonlinear Klein-Gordon model

Abstract

The interaction of solitons with external potentials in nonlinear Klein-Gordon field theory is investigated using an improved model. The presented model has been constructed with a better approximation for adding the potential to the Lagrangian through the metric of background space-time. The results of the model are compared with another model and the differences are discussed.

14 pages,8 figures

References in corpus (7)

• Superfluid current disruption in a chain of weakly coupled Bose-Einstein Condensates
• Analytical formulation for soliton-potential dynamics
• Interaction of topological solitons with defects: using a nontrivial metric
• Dynamical properties of a Soliton in a Potential Well
• A note on a relation between ac Josephson effect and double-well BEC oscillations
• Improved model for the topological soliton-potential interaction in Phi^4 Model
• Scattering of Topological Solitons on Barriers and Holes in Two λϕ^4 Models

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• Kink dynamics in the MSTB Model
• Asymmetric kink scattering in a two-component scalar field theory model
• Collective-coordinate analysis of inhomogeneous nonlinear Klein-Gordon field theory
• Scattering of the asymmetric ${\varphi }^6$ kinks from a $\mathcal{P}\mathcal{T}$-symmetric perturbation: Creation of multiple pairs of kink-antikink from phonons