Nonintegrable Schrodinger Discrete Breathers

Details Nonintegrable Schrodinger Discrete Breathers Nonintegrable Schrodinger Discrete Breathers

2004-10-28

arxiv.org/abs/cond-mat/0410735v1

CHAOS 14, 1130 (2004)

Physics

Condensed Matter

Other Condensed Matter

42 pages, 28 figures. to be published in CHAOS (December 2004)

Scientific paper

10.1063/1.1811991

In an extensive numerical investigation of nonintegrable translational motion of discrete breathers in nonlinear Schrodinger lattices, we have used a regularized Newton algorithm to continue these solutions from the limit of the integrable Ablowitz-Ladik lattice. These solutions are shown to be a superposition of a localized moving core and an excited extended state (background) to which the localized moving pulse is spatially asymptotic. The background is a linear combination of small amplitude nonlinear resonant plane waves and it plays an essential role in the energy balance governing the translational motion of the localized core. Perturbative collective variable theory predictions are critically analyzed in the light of the numerical results.

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