Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2011-09-22
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.
Javidan Kurosh
Saadatmand Danial
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