Collective coordinate analysis of inhomogeneous Nonlinear Klein-Gordon field theory

Details Collective coordinate analysis of inhomogeneous Nonlinear Klein-Gordon field theory Collective coordinate analysis of inhomogeneous Nonlinear Klein-Gordon field theory

2011-09-22

arxiv.org/abs/1109.4922v3

Nonlinear Sciences

Pattern Formation and Solitons

16 pages, 8 figures

Scientific paper

Two different sets of collective coordinate equations for solitary solutions of Nonlinear Klein-Gordon (NKG) model is introduced. The collective coordinate equations are derived using different approaches for adding the inhomogeneities as exrernal potentials to the soliton equation of motion. Interaction of the NKG field with a local inhomogeneity like a delta function potential wall and also delta function potential well is investigated using the presented collective coordinate equations and the results of two different models are compared. Most of the characters of the interaction are derived analytically. Analytical results are also compared with the results of numerical simulations.

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