Self-similarity and fractals in soliton-supporting systems

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Citation of Original Publication

Soljacic, Marin, Mordechai Segev, and Curtis R. Menyuk. “Self-Similarity and Fractals in Soliton-Supporting Systems.” Physical Review E 61, no. 2 (February 1, 2000): R1048–51. https://doi.org/10.1103/PhysRevE.61.R1048.

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©2000 American Physical Society

Abstract

We describe a principle that can be used to generate self-similarity and fractals in almost any nonlinear system in nature that supports solitons, given that some proper nonadiabatic conditions are met. We illustrate our idea on a particular optics example that also theoretically demonstrates fractals in nonlinear optics.