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Sci Rep. 2017 Jan 30;7:41438. doi: 10.1038/srep41438.

Chaoticons described by nonlocal nonlinear Schrödinger equation.

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Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510631, P.R. China.
Physical Science and Technology School, Lingnan Normal University, Zhanjiang 524048, P.R. China.
Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, P.R. China.


It is shown that the unstable evolutions of the Hermite-Gauss-type stationary solutions for the nonlocal nonlinear Schrödinger equation with the exponential-decay response function can evolve into chaotic states. This new kind of entities are referred to as chaoticons because they exhibit not only chaotic properties (with positive Lyapunov exponents and spatial decoherence) but also soliton-like properties (with invariant statistic width and interaction of quasi-elastic collisions).

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