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Quadratic solitons as nonlocal solitons

Nikola I. Nikolov·Dragomir Neshev·Ole Bang·Wieslaw Z. Krolikowski
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Abstract

We show that quadratic solitons are equivalent to solitons of a nonlocal Kerr medium. This provides new physical insight into the properties of quadratic solitons, often believed to be equivalent to solitons of an effective saturable Kerr medium. The nonlocal analogy also allows for novel analytical solutions and the prediction of novel bound states of quadratic solitons.

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Nikola I. Nikolov, Dragomir Neshev, Ole Bang, Wieslaw Z. Krolikowski. 2003-03-04. Quadratic solitons as nonlocal solitons. https://doi.org/10.1103/physreve.68.036614

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