Two classes of fractal structures for the (2+1)-dimensional dispersive long wave equation
Ma Zheng-Yi (马正义), Zheng Chun-Long (郑春龙)
College of Science, Zhejiang Lishui University, Lishui 323000, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
Abstract Using the mapping approach via a Riccati equation, a series of variable separation excitations with three arbitrary functions for the (2+1)-dimensional dispersive long wave (DLW) equation are derived. In addition to the usual localized coherent soliton excitations like dromions, rings, peakons and compactions, etc, some new types of excitations that possess fractal behaviour are obtained by introducing appropriate lower-dimensional localized patterns and Jacobian elliptic functions.
Received: 16 August 2004
Revised: 17 June 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10272071), the Natural Science Foundation of Zhejiang Province, China (Grant No Y604106) and the Key Academic Discipline of Zhejiang Province, China (Grant No 200412).
Cite this article:
Ma Zheng-Yi (马正义), Zheng Chun-Long (郑春龙) Two classes of fractal structures for the (2+1)-dimensional dispersive long wave equation 2006 Chinese Physics 15 45
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.
