TY - JOUR

T1 - Motion of a kink in a spatially modulated sine-Gordon system

AU - Malomed, Boris A.

PY - 1990/3/12

Y1 - 1990/3/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=16444369234&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(90)90139-F

DO - 10.1016/0375-9601(90)90139-F

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AN - SCOPUS:16444369234

SN - 0375-9601

VL - 144

SP - 351

EP - 356

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 6-7

ER -