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Chaoticons described by nonlocal nonlinear Schrodinger equation

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arxiv 1609.02673 v1 pith:3TTVTXSP submitted 2016-09-09 nlin.PS math-phmath.MP

Chaoticons described by nonlocal nonlinear Schrodinger equation

classification nlin.PS math-phmath.MP
keywords chaoticchaoticonsequationnonlinearnonlocalpropertiesschrodingerbecause
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It is shown that the unstable evolutions of the Hermite-Gauss-type stationary solutions for the nonlocal nonlinear Schrodinger 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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