Propagation of Discrete Solitons in Inhomogeneous Networks

Details Propagation of Discrete Solitons in Inhomogeneous Networks Propagation of Discrete Solitons in Inhomogeneous Networks

2005-07-22

arxiv.org/abs/nlin/0507047v1

Chaos 15, 043501 (2005)

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1063/1.2049147

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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