| General Solution and Fractal Localized Structures for the （2＋1）—Dimensional Generalized Ablowitz—Kaup—Newell—Segur System |
| |
| 引用本文： | ZHENGChun－Long ZHANGJie－Fang 等.General Solution and Fractal Localized Structures for the （2＋1）—Dimensional Generalized Ablowitz—Kaup—Newell—Segur System[J].中国物理快报,2002,19(10):1399-1402. |
| |
| 作者姓名： | ZHENGChun－Long ZHANGJie－Fang |
| |
| 作者单位： | [1]DepartmentofPhysics,ZhejiangLishuiNormalCollege,Lishui323000 [2]DepartmentofPhysics,ZhejiangUniversity,Hangzhou310028 |
| |
| 摘 要： | Using the standard truncated Painleve expansions,we derive a quite general solution of the (2 1)-dimensional generalized 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 dromion and fractal lump excitations,are obtained by some types of lower-dimensional fractal patterns.
|
| 关 键 词： | 非线性偏微分方程 三维空间 一般解 |
| 本文献已被 维普 等数据库收录！ |
|
