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
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
