a Department of Physics and Mathematics, Lishui University, Lishui 323000, China; b Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Abstract This work reveals a novel phenomenon—that the localized coherent structures of a (2﹢1)﹣dimensional physical model possesses fractal behaviours. To clarify the interesting phenomenon, we take the (2﹢1)﹣dimensional higher-order Broer-Kaup system as a concrete example. Starting from a Bäcklund transformation, we obtain a linear equation, and then a general solution of the system is derived. From this some special localized excitations with fractal behaviours are obtained by introducing some types of lower-dimensional fractal patterns that related to Jacobian elliptic functions.
Received: 22 December 2003
Revised: 06 April 2004
Accepted manuscript online:
Fund: Project supported by the Foundation of ‘151 Talent Engineering' of Zhengjiang Province, China and by the National Natural Science Foundation of China (Grant No 10172056).
Cite this article:
Ma Zheng-Yi (马正义), Zhu Jia-Min (朱加民), Zheng Chun-Long (郑春龙) Fractal localized structures related to Jacobian elliptic functions in the higher-order Broer-Kaup system 2004 Chinese Physics 13 1382
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