Two classes of fractal structures for the （2＋1）-dimensional dispersive long wave equation  

作　　者：马正义 郑春龙 

机构地区：[1]College of Science, Zhejiang Lishui University, Lishui 323000, China [2]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

出　　处：《Chinese Physics B》2006年第1期45-52,共8页中国物理B（英文版）

基　　金：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）.The authors would like to thank Professor Zhang J F for his fruitful discussion and helpful suggestion.

摘　　要：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.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.

关 键 词：mapping approach DLW equation explicit solution FRACTAL 

分 类 号：O17[理学—数学]