Instantaneous solitons and fractal solitons for a (2+1)-dimensional nonlinear system

doi:10.1088/1674-1056/19/10/100301

Abstract By an improved projective equation approach and a linear variable separation approach, a new family of exact solutions of the (2+1)-dimensional Broek–Kaup system is derived. Based on the derived solitary wave solution and by selecting appropriate functions, some novel localized excitations such as instantaneous solitons and fractal solitons are investigated.

Keywords: improved projective equation approach Broek–Kaup system exact solutions instantaneous solitons and fractal solitons

Received: 05 April 2010
Revised: 12 May 2010
Accepted manuscript online:

PACS:	02.30.Sa	(Functional analysis)
	05.45.Df	(Fractals)
	05.45.Yv	(Solitons)

Fund: Project supported by the Natural Science Foundation of Zhejiang Province of China (Grant Nos. Y606252 and Y604106), the Scientific Research Fund of the Education Department of Zhejiang Province of China (Grant No. 200805981), and the Natural Science Foundation of Zhejiang Lishui University (Grant No. KZ09005).

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Pan Zhen-Huan(潘震环), Ma Song-Hua(马松华), and Fang Jian-Ping(方建平) Instantaneous solitons and fractal solitons for a (2+1)-dimensional nonlinear system 2010 Chin. Phys. B 19 100301

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Instantaneous solitons and fractal solitons for a (2+1)-dimensional nonlinear system

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