Title: Moving discrete breathers in nonlinear Hamiltonian Klein-Gordon lattices with inhomogeneities

Speaker: F Palmero (pdf summary poster 400 Kb, pdf proceedings 120 Kb)
With J Cuevas, JFR Archilla and FR Romero.

Abstract:

When a moving localized oscillation (moving breather) interacts with a local inhomogeneity in a Klein--Gordon lattice, three different behaviours are observed: the moving breather rebounds; the moving breather cross the local inhomogeneity or the moving breather is trapped leading to a quasiperiodic state. The existence of this quasiperiodic localized oscillation is explained by means of resonances with a nonlinear localized stationary oscillation centred in the local inhomogeneity. This behaviour is similar to the observed in the framework of the Nonlinear Schrödinger Equation, which approximates the moving breather by an envelope soliton, although the trapping phenomenon is explained by means of a resonance with linear localized stationary oscillation. As a consequence, when the full dynamical equations are considered, the possibility of resonances with nonlinear modes must be taken into account.

Needs 2002. Nonlinear Evolution Equations and Dynamical Systems. Cádiz, Spain, 9-16 June, 2002. Talk by F Palmero.