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Paper detail

A Universal Map for Fractal Structures in Weak Solitary Wave Interactions

Fractal scatterings in weak solitary wave interactions is analyzed for generalized nonlinear Schrödiger equations (GNLS). Using asymptotic methods, these weak interactions are reduced to a universal second-order map. This map gives the same fractal scattering patterns as those in the GNLS equations both qualitatively and quantitatively. Scaling laws of these fractals are also derived.

preprint2008arXivOpen access
Yi ZhuRichard HabermanJianke Yang
nlin.PSnlin.CD
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Yi ZhuRichard HabermanJianke Yang

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