Soliton Propagation in Chains with Simple Nonlocal Defects

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