Propagation of Discrete Solitons in Inhomogeneous Networks
arXiv:nlin/0507047 · doi:10.1063/1.2049147
Abstract
In many physical applications solitons propagate on supports whose topological properties may induce new and interesting effects. In this paper, we investigate the propagation of solitons on chains with a topological inhomogeneity generated by the insertion of a finite discrete network on the chain. For networks connected by a link to a single site of the chain, we derive a general criterion yielding the momenta for perfect reflection and transmission of traveling solitons and we discuss solitonic motion on chains with topological inhomogeneities.
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Cited by in corpus (10)
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- Soliton solutions of nonlinear Schroedinger equation on simple networks
- Stationary Nonlinear Schrödinger Equation on Simplest Graphs: Boundary conditions and exact solutions
- Localized modes and bistable scattering in nonlinear network junctions
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- Sub- and supercritical defect scattering in Schrödinger chains with higher-order hopping
- Quantum Transport in Ladder-Type Networks: Role of nonlinearity, topology and spin