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

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...

pi kinks in a parametrically driven sine-Gordon chain.

Origin of multikinks in dispersive nonlinear systems

We develop the analytical theory of multikinks for strongly dispersive nonlinear systems, considering the examples of the weakly discrete sine-Gordon model and the generalized Frenkel-Kontorova model with a piecewise parabolic potential. We reveal that there are no 2p kinks for this model, but there exist discrete sets of 2pN kinks for all N.1. We also show their bifurcation structure in driven...

Soliton-like Solutions of the Complex Non-linear Klein-Gordon Systems in 1 + 1 Dimensions

In this paper, we present soliton-like solutions of the non-linear complex Klein-Gordon systems in 1+1 dimensions. We will use polar representation to introduce three different soliton-like solutions including, complex kinks (anti-kinks), radiative profiles, and localized wave-packets. Complex kinks (anti-kinks) are topological objects with zero electrical charges. Radiative profiles are object...