Soliton propagation on chains with simple nonlocal defects

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 and fast solitons with nonlocal topological defects on a chain. We show that the transmission properties of the solitons strongly depend on the structure of the inserted graphs, giving a tool for controlling the soliton propagation through the choice of pertinent graphs to attach to the chain.