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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (10): 100301-100301.doi: 10.1088/1674-1056/19/10/100301

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

潘震环, 马松华, 方建平

Department of Physics, Zhejiang Lishui University, Lishui 323000, China

收稿日期:2010-04-05 修回日期:2010-05-12 出版日期:2010-10-15 发布日期:2010-10-15
基金资助:
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).

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

Pan Zhen-Huan(潘震环), Ma Song-Hua(马松华)^†, and Fang Jian-Ping(方建平)

Department of Physics, Zhejiang Lishui University, Lishui 323000, China

Received:2010-04-05 Revised:2010-05-12 Online:2010-10-15 Published:2010-10-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: improved projective equation approach, Broek–Kaup system, exact solutions, instantaneous solitons and fractal solitons

中图分类号: (Functional analysis)

02.30.Sa

05.45.Df (Fractals) 05.45.Yv (Solitons)

潘震环, 马松华, 方建平. Instantaneous solitons and fractal solitons for a (2+1)-dimensional nonlinear system[J]. 中国物理B, 2010, 19(10): 100301-100301.

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[J]. Chin. Phys. B, 2010, 19(10): 100301-100301.

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

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

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