Motion of a kink in a spatially modulated sine-Gordon system

Boris A. Malomed*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The influence of radiative losses on the velocity-drive characteristic (VDC) of a kink is investigated, by means of perturbation theory, within the framework of a driven damped sine-Gordon equation with an additional term ε{lunate} cos (κ{script}x) sin φ. The main result is that the radiative losses give rise to a sharp step on the VDC near the kink velocity value V = (1 + κ2)-1/2. To obtain this result, it is principally important to take account of a regularizing role of weak dissipation which was neglected earlier. It is demonstrated that hysteretic transitions between the radiative step and a usual dissipation-dominated branch of the VDC may occur.

Original languageEnglish
Pages (from-to)351-356
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number6-7
StatePublished - 12 Mar 1990
Externally publishedYes


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