A Universal Map for Fractal Structures in Weak Solitary Wave Interactions

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.

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

References in corpus (1)

• Universal fractal structures in the weak interaction of solitary waves in generalized nonlinear Schrödinger equations

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• Fractal scattering of Gaussian solitons in directional couplers with logarithmic nonlinearities
• Separatrix Map Analysis for Fractal Scatterings in Weak Interactions of Solitary Waves
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