A Universal Map for Fractal Structures in Weak Solitary Wave Interactions

Details A Universal Map for Fractal Structures in Weak Solitary Wave Interactions A Universal Map for Fractal Structures in Weak Solitary Wave Interactions

2008-02-25

arxiv.org/abs/0802.3595v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 figures to appear in Phys. Rev. Lett. (2008)

Scientific paper

Fractal scatterings in weak solitary wave interactions is analyzed for generalized nonlinear Schr\"odiger 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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