Discreteness effects on the formation and propagation of breathers in nonlinear Klein-Gordon equations

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Abstract
Oscillating localized solutions are studied in the case of a nonlinear Klein-Gordon equation, extending previous results. The discreteness effects are studied on the propagation of the breathers and we show that the Peierls-Nabarro potential is an increasing function of the amplitude of a breather. Showing the possible role of impurities to trap the modes in a finite region and results for the collision phenomenon between such excitations, we exhibit a mechanism to localize energy as large-amplitude breathers in the lattices. Their creation is thus explained by a physically relevant mechanism.