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arXiv · 0802.3595

A Universal Map for Fractal Structures in Weak Solitary Wave Interactions

Yi Zhu·Richard Haberman·Jianke Yang
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Abstract

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.

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Yi Zhu, Richard Haberman, Jianke Yang. 2008-02-25. A Universal Map for Fractal Structures in Weak Solitary Wave Interactions. https://doi.org/10.1103/physrevlett.100.143901

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