Mobile Localization in nonlinear Schrodinger lattices

Details Mobile Localization in nonlinear Schrodinger lattices Mobile Localization in nonlinear Schrodinger lattices

2004-10-28

arxiv.org/abs/cond-mat/0410727v1

Phys. Lett. A 332, 213 (2004)

Physics

Condensed Matter

Soft Condensed Matter

10 pages, 11 figures

Scientific paper

10.1016/j.physleta.2004.09.049

Using continuation methods from the integrable Ablowitz-Ladik lattice, we have studied the structure of numerically exact mobile discrete breathers in the standard Discrete Nonlinear Schrodinger equation. We show that, away from that integrable limit, the mobile pulse is dressed by a background of resonant plane waves with wavevectors given by a certain selection rule. This background is seen to be essential for supporting mobile localization in the absence of integrability. We show how the variations of the localized pulse energy during its motion are balanced by the interaction with this background, allowing the localization mobility along the lattice.

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