Scattering of kinks in noncanonical sine-Gordon Model

Fermions on Thick Branes in Background of Sine-Gordon Kinks

A class of thick branes in background of Sine-Gordon kinks had been constructed in hep-th/0407158 (Ref. [1]). In the background of the warped geometry and the kink, the localization problem of massive fermions on the branes had also been discussed, and discrete massive fermion states on the branes were obtained. In this paper, we reinvestigate the issue of localization of spin half fermions on ...

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...

pi kinks in a parametrically driven sine-Gordon chain.

Comment on "Existence of internal modes of sine-Gordon kinks".

In Phys. Rev. B 42, 2290 (1990) we used a rigorous projection operator collective variable formalism for nonlinear Klein-Gordon equations to prove the continuum sine-Gordon (SG) equation has a long lived quasimode whose frequency is in the continuum just above the lower phonon band edge with a lifetime . We confirmed the analytic calculations by simulations which agreed very closely with the an...

Existence of internal modes of sine-gordon kinks

We study whether or not sine-Gordon kinks exhibit internal modes or "quasimodes." By considering the response of the kinks to ac forces and initial distortions, we show that neither intrinsic internal modes nor "quasimodes" exist in contrast to previous reports. However, we do identify a different kind of internal mode bifurcating from the bottom edge of the phonon band which arises from the di...