Discreteness effects on dynamics of a Sine-Gordon kink in a lattice system are studied with use of a perturbation formalism due to McLaughlin and Scott. It is shown from the zeroth order condition that a kink moves in a periodic (Peierls) potential field which causes wobbling or pinning of the kink. The first order correction for the kink consists of two part, that is, a dressing part and a radiation one. The dressed kink is steeper in shape than the continuum Sine-Gordon kink and the amplitude of the backward radiation is larger than that of the forward radiation. These results are in accord with existing simulational observation.
No takes yet. Share an insight, caveat, or question.
Ishimori et al. (1982) studied this question.
Synapse has enriched 4 closely related papers on similar clinical questions. Consider them for comparative context: