Fractal structure in the collision of vector solitons |
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Authors: | Yang Tan |
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Institution: | Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont 05401, USA. |
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Abstract: | We study the collision of two orthogonally polarized and equal-amplitude vector solitons in the nonintegrable coupled nonlinear Schrodinger equations. We show that the separation velocity versus collision velocity graph has a fractal structure. When we zoom into this graph, we get a structure qualitatively identical to the original one. In addition, collision dynamics in the zoomed-in windows is intimately related to that in the original graph. We explain this fractal dependence of the collision by a resonance mechanism between the translational motion of vector solitons and internal oscillations inside a vector soliton. |
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