Non-symmetric kinks in Klein-Gordon chains free of the Peierls-Nabarro potential

摘要

There exist several approaches to discretize Klein-Gordon field equations in a way that static kink solutions can be obtained from a two-point map,iteratively,starting from any admissible initial value.Such kinks can be placed anywhere with respect to the lattice,in other words,they do not experience the Peierls-Nabarro potential(PNP).So far,to the best of our knowledge,only symmetric PNP-free kinks have been analyzed for the Φ~4 and sine-Gordon equations.It is interesting to construct PNP-free discretisations for the Φ~6 equation supporting asymmetric kinks.In the present study,two versions of such discretisations are derived.