Universal map for fractal structures in weak interactions of solitary waves

被引：11

作者：

Zhu, Yi ^{[1
]}

Haberman, Richard ^{[2
]}

Yang, Jianke ^{[3
]}

机构：

[1] Tsinghua Univ, Zhou Pei Yuan Ctr Appl Math, Beijing 100084, Peoples R China

[2] So Methodist Univ, Dept Math, Dallas, TX 75275 USA

[3] Univ Vermont, Dept Math & Stat, Burlington, VT 05401 USA

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 14期

关键词：

D O I：

10.1103/PhysRevLett.100.143901

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Fractal scatterings in weak solitary-wave interactions are analyzed for generalized nonlinear Schrodiger 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.

引用

页数：4

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