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Mobile localization in nonlinear Schrödinger lattices

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
332
Identifiers
DOI: 10.1016/j.physleta.2004.09.049
Keywords
  • Nonlinear Dynamics
  • Localized Modes

Abstract

Abstract 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 Schrödinger 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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