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Modeling kink dynamics in the sine-Gordon model with position dependent dispersive term. (English) Zbl 1484.35123

Summary: The modification of the sine-Gordon model with explicitly broken translational invariance is studied. Different simplified descriptions of the kink motion are applied and compared. The main problem of the collective coordinate descriptions is identified and a solution is proposed. Some modification of the known collective coordinate approaches is proposed and a new treatment is suggested. The results are compared with the results of the exact field model.

MSC:

35C08 Soliton solutions
35L72 Second-order quasilinear hyperbolic equations
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