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A Universal Map for Fractal Structures in Weak Solitary Wave Interactions

Yi Zhu Center for Applied Mathematics (ZCAM), Tsinghua University, Beijing 100084, China Richard Haberman Department of Mathematics, Southern Methodist University, Dallas, Texas 75275, USA Jianke Yang Department of Mathematics and Statistics, University of Vermont, Burlington, VT 05401, USA

arXiv subject: Chaotic Dynamics (nlin.CD) mathscidoc:2204.80002

2008.2
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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@inproceedings{yi2008a,
  title={A Universal Map for Fractal Structures in Weak Solitary Wave Interactions},
  author={Yi Zhu, Richard Haberman, and Jianke Yang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220421103837483744075},
  year={2008},
}
Yi Zhu, Richard Haberman, and Jianke Yang. A Universal Map for Fractal Structures in Weak Solitary Wave Interactions. 2008. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220421103837483744075.
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