We introduce a systematic approach to investigate movability properties of localized excitations in discrete nonlinear lattice systems and apply it to φ4 lattices. Starting from the anticontinuous limit, we construct localized breather solutions that are shown to be linearly stable and to possess a pinning mode in the double well case. We demonstrate that an appropriate perturbation of the pinning mode yields a systematic method for constructing moving breathers with a minimum shape alteration. We find that the breather mobility improves with lower mode frequency. We analyze properties of the breather motion and determine its effective mass.
ASJC Scopus subject areas
- Physics and Astronomy(all)