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Fractal Dromion, Fractal Lump, and Multiple Peakon Excitations in a New (2+1)-Dimensional Long Dispersive Wave System
Authors:ZHENG Chun-Long  ZHU Jia-min  ZHANG Jie-Fang  CHEN Li-Qun
Affiliation:1. Department of Physics, Zhejiang Lishui Normal College, Lishui 323000, China;2. Shanghai Institute of Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;3. Institute ofNonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;4. Department of Physics, Zhejiang University, Hangzhou 310027, China
Abstract:By means of variable separation approach, quite a general excitation of the new (2+1)-dimensional long dispersivewave system: λqt+qxx-2q∫ (qr)xdy=0, λrt-rxx+2r∫ (qr)xdy=0, is derived. Some types of the usual localized excitations such as dromions,lumps, rings, and oscillating soliton excitations can be easilyconstructed by selecting the arbitrary functions appropriately. Besides these usual localized structures, some new localizedexcitations like fractal-dromion, fractal-lump, and multi-peakonexcitations of this new system are found by selecting appropriate functions.
Keywords:variable separation approach  new (2 + 1)-dimensional long dispersive wave system  fractal localized structure  peakon excitation
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