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

Chin. Phys. Lett.

2002, Vol. 19

Issue (10): 1399-1402 DOI:

Original Articles

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

ZHENG Chun-Long^1,2,3;ZHANG Jie-Fang^3,4

¹Department of Physics, Zhejiang Lishui Normal College, Lishui 323000 ²Department of Physics, Zhejiang University, Hangzhou 310027 ³Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004 ⁴Shanghai Institute of Mathematics and Mechanics, Shanghai University, Shanghai 200072

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ZHENG Chun-Long, ZHANG Jie-Fang 2002 Chin. Phys. Lett. 19 1399-1402

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Abstract Using the standard truncated Painlevé expansions, we derive a quite general solution of the (2+1)-dimensional generalized Ablowitz-Kaup-Newell-Segur (AKNS) system. Except for the usual localized solutions, such as dromions, lumps, and 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.

Keywords: 03.40.Kf 02.30.Jr 03.65.Ge 05.45.Yv

Published: 01 October 2002

PACS:	03.40.Kf
	02.30.Jr	(Partial differential equations)
	03.65.Ge	(Solutions of wave equations: bound states)
	05.45.Yv	(Solitons)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I10/01399

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