Soliton Propagation in Chains with Simple Nonlocal Defects
arXiv:nlin/0701023 · doi:10.1016/j.physd.2005.12.010
Abstract
We study the propagation of solitons on complex chains built by inserting finite graphs at two sites of an unbranched chain. We compare numerical findings with the results of an analytical linear approximation scheme describing the interaction of large-fast solitons with non-local topological defects on a chain. We show that the transmission properties of the solitons strongly depend on the structure of the inserted graph, giving a tool to control the soliton propagation through the choice of pertinent graphs to be attached to the chain.
Published in the special issue of Physica D from a conference on 'Nonlinear Physics: Condensed Matter, Dynamical Systems and Biophysics' held in honour of Serge Aubry
References in corpus (7)
- Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates
- Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
- Nonlinear Fano resonance and bistable wave transmission
- Bose-Einstein condensation in inhomogeneous Josephson arrays
- Fano resonances with discrete breathers
- Resonant scattering of solitons
- Propagation of Discrete Solitons in Inhomogeneous Networks
Cited by in corpus (12)
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- Localized modes and bistable scattering in nonlinear network junctions
- Sine-Gordon solitons in networks: Scattering and transmission at vertices
- Transport in simple networks described by integrable discrete nonlinear SchrÄodinger equation
- Topological Filters for Solitons in Coupled Waveguides Networks
- Quantum Transport in Ladder-Type Networks: Role of nonlinearity, topology and spin
- The Ablowitz-Ladik system on a graph
- Oscillations of simple networks