pi kinks in a parametrically driven sine-Gordon chain.

Comment on "pi kinks in strongly ac driven sine-Gordon systems".

V. Zharnitsky, I. Mitkov, and N. Gronbech-Jensen [Phys. Rev. E 58, 1, R52 (1998)] found that pi kinks can propagate in strongly perturbed, directly driven rescaled sine-Gordon system provided that the parameters are chosen to make 2pi kink localization vanish. In this paper we would like to note that beside pi and 2pi kinks there can exist other kinklike solutions due to the fact that two unsta...

Kinks in the presence of rapidly varying perturbations.

Dynamics of sine-Gordon kinks in the presence of rapidly varying periodic perturbations of different physical origins is described analytically and numerically. The analytical approach is based on asymptotic expansions, and it allows to derive, in a rigorous way, an effective nonlinear equation for the slowly varying field component in any order of the asymptotic procedure as expansions in the ...

Inverted kinks in ac driven damped sine-Gordon chains

It is demonstrated that a sine-Gordon chain may support localized kink solitons, connecting two inverted ground states, if the system is driven by a large-amplitude ac force. This result is predicted by analytical arguments based on the method of averaging in fast oscillations and the results are confirmed by direct numerical simulations, showing excellent agreement with the theoretical predict...

Nonlinear dynamics of a parametrically driven sine-Gordon system.

Stabilization of breathers in a parametrically driven sine-Gordon system with loss.