Nonintegrable Schrodinger Discrete Breathers
arXiv:cond-mat/0410735 · doi:10.1063/1.1811991
Abstract
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.
42 pages, 28 figures. to be published in CHAOS (December 2004)
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- High-order numerical method for the nonlinear Helmholtz equation with material discontinuities in one space dimension
- Variational approximations for travelling solitons in a discrete nonlinear Schrödinger equation
- Discrete Breathers in Two-Dimensional Anisotropic Nonlinear Schrodinger lattices
- Quantum breathers in a nonlinear Klein Gordon lattice
- Construction of nonlinear lattice with potential symmetry for smooth propagation of discrete breather
- Propagation of Discrete Solitons in Inhomogeneous Networks
- Stationary and traveling solitons via local dissipations in Bose-Einstein condensates in ring optical lattices
- PT-symmetry Management in Oligomer Systems
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- Interactions and Collisions of Discrete Breathers in Two-Species Bose-Einstein Condensates in Optical Lattices
- Walking vector soliton caging and releasing