General Solution and Fractal Localized Structures for the (2+1)-Dimensional Generalized Ablowitz-Kaup-Newell-Segur System

• 来源期刊: 中国物理快报（英文版）
• 学科: 物理学
• 年，卷（期）: 2002,（10）
• 页码范围: 1399-1402
• 页数: 4页
• 分类号: O4
• 语种: 英文

摘要

Using the standard truncated Painlevé expansions, we derive a quite general solution of the (2+1)-dimensionalgeneralized Ablowitz-Kaup-Newell-Segur system. Except for the usual localized solutions, such as dromions,lumps, ring soliton solutions, etc, some special localized excitations with fractal behaviour, i.e. the fractal dromionand fractal lump excitations, are obtained by some types of lower-dimensional tfractal patterns.