We put forward what we believe to be a novel strategy to achieve synthetic nonlinearities where local and nonlocal contributions compete on a similar footing, thus yielding intermediate tunable responses ranging from local to strongly nonlocal. The setting addressed is a semiconductor material with both Kerr and thermal nonlinearities illuminated by a pulse train with suitable pulse width and repetition rate.
Kartashov, Y.V., Vysloukh, V.A., Torner, L. Engineering soliton nonlinearities: from local to strongly nonlocal. "Optics letters", Gener 2009, vol. 34, núm. 10, p. 1543-1545.